Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate

In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Yanli Zhou [verfasserIn] Weiguo Zhang [verfasserIn] Sanling Yuan [verfasserIn] Hongxiao Hu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2014

Schlagwörter:	General nonlinear incidence stochastic Ito formula persistence extinction

Übergeordnetes Werk:	In: Electronic Journal of Differential Equations - Texas State University, 2003, (2014), 42,, Seite 17
Übergeordnetes Werk:	year:2014 ; number:42, ; pages:17

Links:	Link aufrufen Link aufrufen Journal toc

Katalog-ID:	DOAJ01181957X

Internformat


LEADER	01000caa a22002652 4500
001	DOAJ01181957X
003	DE-627
005	20230310040302.0
007	cr uuu---uuuuu
008	230225s2014 xx \|\|\|\|\|o 00\| \|\|eng c
035			\|a (DE-627)DOAJ01181957X
035			\|a (DE-599)DOAJab9f0dd029b44084b121309a2f6ef7c3
040			\|a DE-627 \|b ger \|c DE-627 \|e rakwb
041			\|a eng
050		0	\|a QA1-939
100	0		\|a Yanli Zhou \|e verfasserin \|4 aut
245	1	0	\|a Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate
264		1	\|c 2014
336			\|a Text \|b txt \|2 rdacontent
337			\|a Computermedien \|b c \|2 rdamedia
338			\|a Online-Ressource \|b cr \|2 rdacarrier
520			\|a In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations.
650		4	\|a General nonlinear incidence
650		4	\|a stochastic
650		4	\|a Ito formula
650		4	\|a persistence
650		4	\|a extinction
653		0	\|a Mathematics
700	0		\|a Weiguo Zhang \|e verfasserin \|4 aut
700	0		\|a Sanling Yuan \|e verfasserin \|4 aut
700	0		\|a Hongxiao Hu \|e verfasserin \|4 aut
773	0	8	\|i In \|t Electronic Journal of Differential Equations \|d Texas State University, 2003 \|g (2014), 42,, Seite 17 \|w (DE-627)320518205 \|w (DE-600)2014226-2 \|x 10726691 \|7 nnns
773	1	8	\|g year:2014 \|g number:42, \|g pages:17
856	4	0	\|u https://doaj.org/article/ab9f0dd029b44084b121309a2f6ef7c3 \|z kostenfrei
856	4	0	\|u http://ejde.math.txstate.edu/Volumes/2014/42/abstr.html \|z kostenfrei
856	4	2	\|u https://doaj.org/toc/1072-6691 \|y Journal toc \|z kostenfrei
912			\|a GBV_USEFLAG_A
912			\|a SYSFLAG_A
912			\|a GBV_DOAJ
912			\|a GBV_ILN_20
912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_95
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_230
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4700
951			\|a AR
952			\|j 2014 \|e 42, \|h 17

Indexfelder

author_variant	y z yz w z wz s y sy h h hh
matchkey_str	article:10726691:2014----::essecadxicinntcatcisoesiheea
hierarchy_sort_str	2014
callnumber-subject-code	QA
publishDate	2014
allfields	(DE-627)DOAJ01181957X (DE-599)DOAJab9f0dd029b44084b121309a2f6ef7c3 DE-627 ger DE-627 rakwb eng QA1-939 Yanli Zhou verfasserin aut Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations. General nonlinear incidence stochastic Ito formula persistence extinction Mathematics Weiguo Zhang verfasserin aut Sanling Yuan verfasserin aut Hongxiao Hu verfasserin aut In Electronic Journal of Differential Equations Texas State University, 2003 (2014), 42,, Seite 17 (DE-627)320518205 (DE-600)2014226-2 10726691 nnns year:2014 number:42, pages:17 https://doaj.org/article/ab9f0dd029b44084b121309a2f6ef7c3 kostenfrei http://ejde.math.txstate.edu/Volumes/2014/42/abstr.html kostenfrei https://doaj.org/toc/1072-6691 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014 42, 17
spelling	(DE-627)DOAJ01181957X (DE-599)DOAJab9f0dd029b44084b121309a2f6ef7c3 DE-627 ger DE-627 rakwb eng QA1-939 Yanli Zhou verfasserin aut Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations. General nonlinear incidence stochastic Ito formula persistence extinction Mathematics Weiguo Zhang verfasserin aut Sanling Yuan verfasserin aut Hongxiao Hu verfasserin aut In Electronic Journal of Differential Equations Texas State University, 2003 (2014), 42,, Seite 17 (DE-627)320518205 (DE-600)2014226-2 10726691 nnns year:2014 number:42, pages:17 https://doaj.org/article/ab9f0dd029b44084b121309a2f6ef7c3 kostenfrei http://ejde.math.txstate.edu/Volumes/2014/42/abstr.html kostenfrei https://doaj.org/toc/1072-6691 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014 42, 17
allfields_unstemmed	(DE-627)DOAJ01181957X (DE-599)DOAJab9f0dd029b44084b121309a2f6ef7c3 DE-627 ger DE-627 rakwb eng QA1-939 Yanli Zhou verfasserin aut Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations. General nonlinear incidence stochastic Ito formula persistence extinction Mathematics Weiguo Zhang verfasserin aut Sanling Yuan verfasserin aut Hongxiao Hu verfasserin aut In Electronic Journal of Differential Equations Texas State University, 2003 (2014), 42,, Seite 17 (DE-627)320518205 (DE-600)2014226-2 10726691 nnns year:2014 number:42, pages:17 https://doaj.org/article/ab9f0dd029b44084b121309a2f6ef7c3 kostenfrei http://ejde.math.txstate.edu/Volumes/2014/42/abstr.html kostenfrei https://doaj.org/toc/1072-6691 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014 42, 17
allfieldsGer	(DE-627)DOAJ01181957X (DE-599)DOAJab9f0dd029b44084b121309a2f6ef7c3 DE-627 ger DE-627 rakwb eng QA1-939 Yanli Zhou verfasserin aut Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations. General nonlinear incidence stochastic Ito formula persistence extinction Mathematics Weiguo Zhang verfasserin aut Sanling Yuan verfasserin aut Hongxiao Hu verfasserin aut In Electronic Journal of Differential Equations Texas State University, 2003 (2014), 42,, Seite 17 (DE-627)320518205 (DE-600)2014226-2 10726691 nnns year:2014 number:42, pages:17 https://doaj.org/article/ab9f0dd029b44084b121309a2f6ef7c3 kostenfrei http://ejde.math.txstate.edu/Volumes/2014/42/abstr.html kostenfrei https://doaj.org/toc/1072-6691 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014 42, 17
allfieldsSound	(DE-627)DOAJ01181957X (DE-599)DOAJab9f0dd029b44084b121309a2f6ef7c3 DE-627 ger DE-627 rakwb eng QA1-939 Yanli Zhou verfasserin aut Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations. General nonlinear incidence stochastic Ito formula persistence extinction Mathematics Weiguo Zhang verfasserin aut Sanling Yuan verfasserin aut Hongxiao Hu verfasserin aut In Electronic Journal of Differential Equations Texas State University, 2003 (2014), 42,, Seite 17 (DE-627)320518205 (DE-600)2014226-2 10726691 nnns year:2014 number:42, pages:17 https://doaj.org/article/ab9f0dd029b44084b121309a2f6ef7c3 kostenfrei http://ejde.math.txstate.edu/Volumes/2014/42/abstr.html kostenfrei https://doaj.org/toc/1072-6691 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014 42, 17
language	English
source	In Electronic Journal of Differential Equations (2014), 42,, Seite 17 year:2014 number:42, pages:17
sourceStr	In Electronic Journal of Differential Equations (2014), 42,, Seite 17 year:2014 number:42, pages:17
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	General nonlinear incidence stochastic Ito formula persistence extinction Mathematics
isfreeaccess_bool	true
container_title	Electronic Journal of Differential Equations
authorswithroles_txt_mv	Yanli Zhou @@aut@@ Weiguo Zhang @@aut@@ Sanling Yuan @@aut@@ Hongxiao Hu @@aut@@
publishDateDaySort_date	2014-01-01T00:00:00Z
hierarchy_top_id	320518205
id	DOAJ01181957X
language_de	englisch
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">DOAJ01181957X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230310040302.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">230225s2014 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)DOAJ01181957X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DOAJab9f0dd029b44084b121309a2f6ef7c3</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA1-939</subfield></datafield><datafield tag="100" ind1="0" ind2=" "><subfield code="a">Yanli Zhou</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">General nonlinear incidence</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">stochastic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ito formula</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">persistence</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">extinction</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Weiguo Zhang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Sanling Yuan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Hongxiao Hu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">In</subfield><subfield code="t">Electronic Journal of Differential Equations</subfield><subfield code="d">Texas State University, 2003</subfield><subfield code="g">(2014), 42,, Seite 17</subfield><subfield code="w">(DE-627)320518205</subfield><subfield code="w">(DE-600)2014226-2</subfield><subfield code="x">10726691</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">year:2014</subfield><subfield code="g">number:42,</subfield><subfield code="g">pages:17</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doaj.org/article/ab9f0dd029b44084b121309a2f6ef7c3</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://ejde.math.txstate.edu/Volumes/2014/42/abstr.html</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">https://doaj.org/toc/1072-6691</subfield><subfield code="y">Journal toc</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_DOAJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_63</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_151</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_170</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_206</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_213</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_230</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_702</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2001</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2003</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2005</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2008</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2009</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2010</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2011</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2015</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2025</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2031</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2044</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2048</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2050</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2055</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2056</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2057</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2061</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2111</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2190</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4037</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4112</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4249</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4322</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4326</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4367</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="j">2014</subfield><subfield code="e">42,</subfield><subfield code="h">17</subfield></datafield></record></collection>
callnumber-first	Q - Science
author	Yanli Zhou
spellingShingle	Yanli Zhou misc QA1-939 misc General nonlinear incidence misc stochastic misc Ito formula misc persistence misc extinction misc Mathematics Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate
authorStr	Yanli Zhou
ppnlink_with_tag_str_mv	@@773@@(DE-627)320518205
format	electronic Article
delete_txt_mv	keep
author_role	aut aut aut aut
collection	DOAJ
remote_str	true
callnumber-label	QA1-939
illustrated	Not Illustrated
issn	10726691
topic_title	QA1-939 Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate General nonlinear incidence stochastic Ito formula persistence extinction
topic	misc QA1-939 misc General nonlinear incidence misc stochastic misc Ito formula misc persistence misc extinction misc Mathematics
topic_unstemmed	misc QA1-939 misc General nonlinear incidence misc stochastic misc Ito formula misc persistence misc extinction misc Mathematics
topic_browse	misc QA1-939 misc General nonlinear incidence misc stochastic misc Ito formula misc persistence misc extinction misc Mathematics
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
format_main_str_mv	Text Zeitschrift/Artikel
carriertype_str_mv	cr
hierarchy_parent_title	Electronic Journal of Differential Equations
hierarchy_parent_id	320518205
hierarchy_top_title	Electronic Journal of Differential Equations
isfreeaccess_txt	true
familylinks_str_mv	(DE-627)320518205 (DE-600)2014226-2
title	Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate
ctrlnum	(DE-627)DOAJ01181957X (DE-599)DOAJab9f0dd029b44084b121309a2f6ef7c3
title_full	Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate
author_sort	Yanli Zhou
journal	Electronic Journal of Differential Equations
journalStr	Electronic Journal of Differential Equations
callnumber-first-code	Q
lang_code	eng
isOA_bool	true
recordtype	marc
publishDateSort	2014
contenttype_str_mv	txt
container_start_page	17
author_browse	Yanli Zhou Weiguo Zhang Sanling Yuan Hongxiao Hu
class	QA1-939
format_se	Elektronische Aufsätze
author-letter	Yanli Zhou
author2-role	verfasserin
title_sort	persistence and extinction in stochastic sirs models with general nonlinear incidence rate
callnumber	QA1-939
title_auth	Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate
abstract	In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations.
abstractGer	In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations.
abstract_unstemmed	In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations.
collection_details	GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700
container_issue	42,
title_short	Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate
url	https://doaj.org/article/ab9f0dd029b44084b121309a2f6ef7c3 http://ejde.math.txstate.edu/Volumes/2014/42/abstr.html https://doaj.org/toc/1072-6691
remote_bool	true
author2	Weiguo Zhang Sanling Yuan Hongxiao Hu
author2Str	Weiguo Zhang Sanling Yuan Hongxiao Hu
ppnlink	320518205
callnumber-subject	QA - Mathematics
mediatype_str_mv	c
isOA_txt	true
hochschulschrift_bool	false
callnumber-a	QA1-939
up_date	2024-07-03T22:23:32.014Z
_version_	1803598337950089216
fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">DOAJ01181957X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230310040302.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">230225s2014 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)DOAJ01181957X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DOAJab9f0dd029b44084b121309a2f6ef7c3</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA1-939</subfield></datafield><datafield tag="100" ind1="0" ind2=" "><subfield code="a">Yanli Zhou</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this article, a SIRS epidemic model with general nonlinear incidence rate is proposed and investigated. We briefly discuss the global stability of the deterministic system by using Lyapunov function. For the stochastic version, the global existence and positivity of the solution are studied, and the global stability in probability and pth-moment of the system are proved under suitable assumptions on the white noise perturbations. Furthermore, the sufficient conditions for the persistence and extinction of the disease are obtained. Finally, the theoretical results are illustrated by numerical simulations.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">General nonlinear incidence</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">stochastic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ito formula</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">persistence</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">extinction</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Weiguo Zhang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Sanling Yuan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="0" ind2=" "><subfield code="a">Hongxiao Hu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">In</subfield><subfield code="t">Electronic Journal of Differential Equations</subfield><subfield code="d">Texas State University, 2003</subfield><subfield code="g">(2014), 42,, Seite 17</subfield><subfield code="w">(DE-627)320518205</subfield><subfield code="w">(DE-600)2014226-2</subfield><subfield code="x">10726691</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">year:2014</subfield><subfield code="g">number:42,</subfield><subfield code="g">pages:17</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doaj.org/article/ab9f0dd029b44084b121309a2f6ef7c3</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://ejde.math.txstate.edu/Volumes/2014/42/abstr.html</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">https://doaj.org/toc/1072-6691</subfield><subfield code="y">Journal toc</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_DOAJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_63</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_151</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_170</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_206</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_213</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_230</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_702</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2001</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2003</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2005</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2008</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2009</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2010</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2011</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2015</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2025</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2031</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2044</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2048</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2050</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2055</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2056</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2057</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2061</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2111</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2190</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4037</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4112</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4249</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4322</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4326</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4367</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="j">2014</subfield><subfield code="e">42,</subfield><subfield code="h">17</subfield></datafield></record></collection>
score	7.400196

Nicht das Richtige dabei?

Schreiben Sie uns!

Persistence and extinction in stochastic SIRS models with general nonlinear incidence rate

Nicht das Richtige dabei?

Zugang & Verfügbarkeit

Vorhandene Bände

Nicht das Richtige dabei?