Qualitative analysis for a Wolbachia infection model with diffusion

Abstract We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected mosquitoes. By using linearization method, comparison principle and Leray-Schauder degree theory, we investigate the influence of diffusion on the W...
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Autor*in:	Huang, MuGen [verfasserIn] Yu, JianShe [verfasserIn] Hu, LinChao [verfasserIn] Zheng, Bo [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	dengue fever Wolbachia infection dynamics cytoplasmic incompatibility mechanism attractive region Turing instability non-constant steady-states

Übergeordnetes Werk:	Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 59(2016), 7 vom: 26. Apr., Seite 1249-1266
Übergeordnetes Werk:	volume:59 ; year:2016 ; number:7 ; day:26 ; month:04 ; pages:1249-1266

Links:	Volltext

DOI / URN:	10.1007/s11425-016-5149-y

Katalog-ID:	SPR019143400

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allfields	10.1007/s11425-016-5149-y doi (DE-627)SPR019143400 (SPR)s11425-016-5149-y-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Huang, MuGen verfasserin aut Qualitative analysis for a Wolbachia infection model with diffusion 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected mosquitoes. By using linearization method, comparison principle and Leray-Schauder degree theory, we investigate the influence of diffusion on the Wolbachia infection dynamics. After identifying the system parameter regions in which diffusion alters the local stability of constant steady-states, we find sufficient conditions under which the system possesses inhomogeneous steady-states. Surprisingly, our mathematical analysis, with the help of numerical simulations, indicates that diffusion is able to lower the threshold value of the infection frequency over which Wolbachia can invade the whole population. dengue fever (dpeaa)DE-He213 Wolbachia infection dynamics (dpeaa)DE-He213 cytoplasmic incompatibility mechanism (dpeaa)DE-He213 attractive region (dpeaa)DE-He213 Turing instability (dpeaa)DE-He213 non-constant steady-states (dpeaa)DE-He213 Yu, JianShe verfasserin aut Hu, LinChao verfasserin aut Zheng, Bo verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 59(2016), 7 vom: 26. Apr., Seite 1249-1266 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:59 year:2016 number:7 day:26 month:04 pages:1249-1266 https://dx.doi.org/10.1007/s11425-016-5149-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 59 2016 7 26 04 1249-1266
spelling	10.1007/s11425-016-5149-y doi (DE-627)SPR019143400 (SPR)s11425-016-5149-y-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Huang, MuGen verfasserin aut Qualitative analysis for a Wolbachia infection model with diffusion 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected mosquitoes. By using linearization method, comparison principle and Leray-Schauder degree theory, we investigate the influence of diffusion on the Wolbachia infection dynamics. After identifying the system parameter regions in which diffusion alters the local stability of constant steady-states, we find sufficient conditions under which the system possesses inhomogeneous steady-states. Surprisingly, our mathematical analysis, with the help of numerical simulations, indicates that diffusion is able to lower the threshold value of the infection frequency over which Wolbachia can invade the whole population. dengue fever (dpeaa)DE-He213 Wolbachia infection dynamics (dpeaa)DE-He213 cytoplasmic incompatibility mechanism (dpeaa)DE-He213 attractive region (dpeaa)DE-He213 Turing instability (dpeaa)DE-He213 non-constant steady-states (dpeaa)DE-He213 Yu, JianShe verfasserin aut Hu, LinChao verfasserin aut Zheng, Bo verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 59(2016), 7 vom: 26. Apr., Seite 1249-1266 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:59 year:2016 number:7 day:26 month:04 pages:1249-1266 https://dx.doi.org/10.1007/s11425-016-5149-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 59 2016 7 26 04 1249-1266
allfields_unstemmed	10.1007/s11425-016-5149-y doi (DE-627)SPR019143400 (SPR)s11425-016-5149-y-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Huang, MuGen verfasserin aut Qualitative analysis for a Wolbachia infection model with diffusion 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected mosquitoes. By using linearization method, comparison principle and Leray-Schauder degree theory, we investigate the influence of diffusion on the Wolbachia infection dynamics. After identifying the system parameter regions in which diffusion alters the local stability of constant steady-states, we find sufficient conditions under which the system possesses inhomogeneous steady-states. Surprisingly, our mathematical analysis, with the help of numerical simulations, indicates that diffusion is able to lower the threshold value of the infection frequency over which Wolbachia can invade the whole population. dengue fever (dpeaa)DE-He213 Wolbachia infection dynamics (dpeaa)DE-He213 cytoplasmic incompatibility mechanism (dpeaa)DE-He213 attractive region (dpeaa)DE-He213 Turing instability (dpeaa)DE-He213 non-constant steady-states (dpeaa)DE-He213 Yu, JianShe verfasserin aut Hu, LinChao verfasserin aut Zheng, Bo verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 59(2016), 7 vom: 26. Apr., Seite 1249-1266 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:59 year:2016 number:7 day:26 month:04 pages:1249-1266 https://dx.doi.org/10.1007/s11425-016-5149-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 59 2016 7 26 04 1249-1266
allfieldsGer	10.1007/s11425-016-5149-y doi (DE-627)SPR019143400 (SPR)s11425-016-5149-y-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Huang, MuGen verfasserin aut Qualitative analysis for a Wolbachia infection model with diffusion 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected mosquitoes. By using linearization method, comparison principle and Leray-Schauder degree theory, we investigate the influence of diffusion on the Wolbachia infection dynamics. After identifying the system parameter regions in which diffusion alters the local stability of constant steady-states, we find sufficient conditions under which the system possesses inhomogeneous steady-states. Surprisingly, our mathematical analysis, with the help of numerical simulations, indicates that diffusion is able to lower the threshold value of the infection frequency over which Wolbachia can invade the whole population. dengue fever (dpeaa)DE-He213 Wolbachia infection dynamics (dpeaa)DE-He213 cytoplasmic incompatibility mechanism (dpeaa)DE-He213 attractive region (dpeaa)DE-He213 Turing instability (dpeaa)DE-He213 non-constant steady-states (dpeaa)DE-He213 Yu, JianShe verfasserin aut Hu, LinChao verfasserin aut Zheng, Bo verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 59(2016), 7 vom: 26. Apr., Seite 1249-1266 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:59 year:2016 number:7 day:26 month:04 pages:1249-1266 https://dx.doi.org/10.1007/s11425-016-5149-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 59 2016 7 26 04 1249-1266
allfieldsSound	10.1007/s11425-016-5149-y doi (DE-627)SPR019143400 (SPR)s11425-016-5149-y-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Huang, MuGen verfasserin aut Qualitative analysis for a Wolbachia infection model with diffusion 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected mosquitoes. By using linearization method, comparison principle and Leray-Schauder degree theory, we investigate the influence of diffusion on the Wolbachia infection dynamics. After identifying the system parameter regions in which diffusion alters the local stability of constant steady-states, we find sufficient conditions under which the system possesses inhomogeneous steady-states. Surprisingly, our mathematical analysis, with the help of numerical simulations, indicates that diffusion is able to lower the threshold value of the infection frequency over which Wolbachia can invade the whole population. dengue fever (dpeaa)DE-He213 Wolbachia infection dynamics (dpeaa)DE-He213 cytoplasmic incompatibility mechanism (dpeaa)DE-He213 attractive region (dpeaa)DE-He213 Turing instability (dpeaa)DE-He213 non-constant steady-states (dpeaa)DE-He213 Yu, JianShe verfasserin aut Hu, LinChao verfasserin aut Zheng, Bo verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 59(2016), 7 vom: 26. Apr., Seite 1249-1266 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:59 year:2016 number:7 day:26 month:04 pages:1249-1266 https://dx.doi.org/10.1007/s11425-016-5149-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 59 2016 7 26 04 1249-1266
language	English
source	Enthalten in Science in China 59(2016), 7 vom: 26. Apr., Seite 1249-1266 volume:59 year:2016 number:7 day:26 month:04 pages:1249-1266
sourceStr	Enthalten in Science in China 59(2016), 7 vom: 26. Apr., Seite 1249-1266 volume:59 year:2016 number:7 day:26 month:04 pages:1249-1266
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topic_facet	dengue fever Wolbachia infection dynamics cytoplasmic incompatibility mechanism attractive region Turing instability non-constant steady-states
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author	Huang, MuGen
spellingShingle	Huang, MuGen ddc 510 bkl 30.00 bkl 31.00 misc dengue fever misc Wolbachia infection dynamics misc cytoplasmic incompatibility mechanism misc attractive region misc Turing instability misc non-constant steady-states Qualitative analysis for a Wolbachia infection model with diffusion
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topic_title	510 530 520 ASE 30.00 bkl 31.00 bkl Qualitative analysis for a Wolbachia infection model with diffusion dengue fever (dpeaa)DE-He213 Wolbachia infection dynamics (dpeaa)DE-He213 cytoplasmic incompatibility mechanism (dpeaa)DE-He213 attractive region (dpeaa)DE-He213 Turing instability (dpeaa)DE-He213 non-constant steady-states (dpeaa)DE-He213
topic	ddc 510 bkl 30.00 bkl 31.00 misc dengue fever misc Wolbachia infection dynamics misc cytoplasmic incompatibility mechanism misc attractive region misc Turing instability misc non-constant steady-states
topic_unstemmed	ddc 510 bkl 30.00 bkl 31.00 misc dengue fever misc Wolbachia infection dynamics misc cytoplasmic incompatibility mechanism misc attractive region misc Turing instability misc non-constant steady-states
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title	Qualitative analysis for a Wolbachia infection model with diffusion
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title_full	Qualitative analysis for a Wolbachia infection model with diffusion
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title_sort	qualitative analysis for a wolbachia infection model with diffusion
title_auth	Qualitative analysis for a Wolbachia infection model with diffusion
abstract	Abstract We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected mosquitoes. By using linearization method, comparison principle and Leray-Schauder degree theory, we investigate the influence of diffusion on the Wolbachia infection dynamics. After identifying the system parameter regions in which diffusion alters the local stability of constant steady-states, we find sufficient conditions under which the system possesses inhomogeneous steady-states. Surprisingly, our mathematical analysis, with the help of numerical simulations, indicates that diffusion is able to lower the threshold value of the infection frequency over which Wolbachia can invade the whole population.
abstractGer	Abstract We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected mosquitoes. By using linearization method, comparison principle and Leray-Schauder degree theory, we investigate the influence of diffusion on the Wolbachia infection dynamics. After identifying the system parameter regions in which diffusion alters the local stability of constant steady-states, we find sufficient conditions under which the system possesses inhomogeneous steady-states. Surprisingly, our mathematical analysis, with the help of numerical simulations, indicates that diffusion is able to lower the threshold value of the infection frequency over which Wolbachia can invade the whole population.
abstract_unstemmed	Abstract We consider a reaction-diffusion model which describes the spatial Wolbachia spread dynamics for a mixed population of infected and uninfected mosquitoes. By using linearization method, comparison principle and Leray-Schauder degree theory, we investigate the influence of diffusion on the Wolbachia infection dynamics. After identifying the system parameter regions in which diffusion alters the local stability of constant steady-states, we find sufficient conditions under which the system possesses inhomogeneous steady-states. Surprisingly, our mathematical analysis, with the help of numerical simulations, indicates that diffusion is able to lower the threshold value of the infection frequency over which Wolbachia can invade the whole population.
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title_short	Qualitative analysis for a Wolbachia infection model with diffusion
url	https://dx.doi.org/10.1007/s11425-016-5149-y
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up_date	2024-07-04T00:21:10.635Z
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