Spreading Speed of a Cholera Epidemic Model in a Periodic Environment

Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion sp...
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Gespeichert in:

Autor*in:	Lin, Guo [verfasserIn] Pan, Shuxia Wang, Xueying

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Nonmonotone system Asymptotic spreading speed Direct Indirect transmission pathways

Anmerkung:	© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Qualitative theory of dynamical systems - Basel : Birkhäuser, 1999, 22(2023), 2 vom: 18. Feb.
Übergeordnetes Werk:	volume:22 ; year:2023 ; number:2 ; day:18 ; month:02

Links:	Volltext

DOI / URN:	10.1007/s12346-023-00753-8

Katalog-ID:	SPR049377736

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520			\|a Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion speed of the infection and the bacteria over space. Our results indicate that the disease may spread at an almost constant average speed. Although our approach can not give an explicit threshold in general, our conclusions imply that there exists a constant spreading speed and the numerical simulation is applicable to estimate the spreading ability of the disease in further application. Furthermore, if the parameters are constants, we obtain an explicit formulation of spreading speed. When incidence functions take the special form, the spreading speed is the minimal wave speed of traveling wave solutions in earlier works. Additionally, the theoretical findings of this work highlight that the movement of infected hosts and bacteria, and direct and indirect transmission routes are important factors affecting the spatial spreading ability of cholera.
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allfields	10.1007/s12346-023-00753-8 doi (DE-627)SPR049377736 (SPR)s12346-023-00753-8-e DE-627 ger DE-627 rakwb eng Lin, Guo verfasserin aut Spreading Speed of a Cholera Epidemic Model in a Periodic Environment 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion speed of the infection and the bacteria over space. Our results indicate that the disease may spread at an almost constant average speed. Although our approach can not give an explicit threshold in general, our conclusions imply that there exists a constant spreading speed and the numerical simulation is applicable to estimate the spreading ability of the disease in further application. Furthermore, if the parameters are constants, we obtain an explicit formulation of spreading speed. When incidence functions take the special form, the spreading speed is the minimal wave speed of traveling wave solutions in earlier works. Additionally, the theoretical findings of this work highlight that the movement of infected hosts and bacteria, and direct and indirect transmission routes are important factors affecting the spatial spreading ability of cholera. Nonmonotone system (dpeaa)DE-He213 Asymptotic spreading speed (dpeaa)DE-He213 Direct (dpeaa)DE-He213 Indirect transmission pathways (dpeaa)DE-He213 Pan, Shuxia aut Wang, Xueying aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 22(2023), 2 vom: 18. Feb. (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:22 year:2023 number:2 day:18 month:02 https://dx.doi.org/10.1007/s12346-023-00753-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 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_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2023 2 18 02
spelling	10.1007/s12346-023-00753-8 doi (DE-627)SPR049377736 (SPR)s12346-023-00753-8-e DE-627 ger DE-627 rakwb eng Lin, Guo verfasserin aut Spreading Speed of a Cholera Epidemic Model in a Periodic Environment 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion speed of the infection and the bacteria over space. Our results indicate that the disease may spread at an almost constant average speed. Although our approach can not give an explicit threshold in general, our conclusions imply that there exists a constant spreading speed and the numerical simulation is applicable to estimate the spreading ability of the disease in further application. Furthermore, if the parameters are constants, we obtain an explicit formulation of spreading speed. When incidence functions take the special form, the spreading speed is the minimal wave speed of traveling wave solutions in earlier works. Additionally, the theoretical findings of this work highlight that the movement of infected hosts and bacteria, and direct and indirect transmission routes are important factors affecting the spatial spreading ability of cholera. Nonmonotone system (dpeaa)DE-He213 Asymptotic spreading speed (dpeaa)DE-He213 Direct (dpeaa)DE-He213 Indirect transmission pathways (dpeaa)DE-He213 Pan, Shuxia aut Wang, Xueying aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 22(2023), 2 vom: 18. Feb. (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:22 year:2023 number:2 day:18 month:02 https://dx.doi.org/10.1007/s12346-023-00753-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 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_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2023 2 18 02
allfields_unstemmed	10.1007/s12346-023-00753-8 doi (DE-627)SPR049377736 (SPR)s12346-023-00753-8-e DE-627 ger DE-627 rakwb eng Lin, Guo verfasserin aut Spreading Speed of a Cholera Epidemic Model in a Periodic Environment 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion speed of the infection and the bacteria over space. Our results indicate that the disease may spread at an almost constant average speed. Although our approach can not give an explicit threshold in general, our conclusions imply that there exists a constant spreading speed and the numerical simulation is applicable to estimate the spreading ability of the disease in further application. Furthermore, if the parameters are constants, we obtain an explicit formulation of spreading speed. When incidence functions take the special form, the spreading speed is the minimal wave speed of traveling wave solutions in earlier works. Additionally, the theoretical findings of this work highlight that the movement of infected hosts and bacteria, and direct and indirect transmission routes are important factors affecting the spatial spreading ability of cholera. Nonmonotone system (dpeaa)DE-He213 Asymptotic spreading speed (dpeaa)DE-He213 Direct (dpeaa)DE-He213 Indirect transmission pathways (dpeaa)DE-He213 Pan, Shuxia aut Wang, Xueying aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 22(2023), 2 vom: 18. Feb. (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:22 year:2023 number:2 day:18 month:02 https://dx.doi.org/10.1007/s12346-023-00753-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 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_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2023 2 18 02
allfieldsGer	10.1007/s12346-023-00753-8 doi (DE-627)SPR049377736 (SPR)s12346-023-00753-8-e DE-627 ger DE-627 rakwb eng Lin, Guo verfasserin aut Spreading Speed of a Cholera Epidemic Model in a Periodic Environment 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion speed of the infection and the bacteria over space. Our results indicate that the disease may spread at an almost constant average speed. Although our approach can not give an explicit threshold in general, our conclusions imply that there exists a constant spreading speed and the numerical simulation is applicable to estimate the spreading ability of the disease in further application. Furthermore, if the parameters are constants, we obtain an explicit formulation of spreading speed. When incidence functions take the special form, the spreading speed is the minimal wave speed of traveling wave solutions in earlier works. Additionally, the theoretical findings of this work highlight that the movement of infected hosts and bacteria, and direct and indirect transmission routes are important factors affecting the spatial spreading ability of cholera. Nonmonotone system (dpeaa)DE-He213 Asymptotic spreading speed (dpeaa)DE-He213 Direct (dpeaa)DE-He213 Indirect transmission pathways (dpeaa)DE-He213 Pan, Shuxia aut Wang, Xueying aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 22(2023), 2 vom: 18. Feb. (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:22 year:2023 number:2 day:18 month:02 https://dx.doi.org/10.1007/s12346-023-00753-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 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_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2023 2 18 02
allfieldsSound	10.1007/s12346-023-00753-8 doi (DE-627)SPR049377736 (SPR)s12346-023-00753-8-e DE-627 ger DE-627 rakwb eng Lin, Guo verfasserin aut Spreading Speed of a Cholera Epidemic Model in a Periodic Environment 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion speed of the infection and the bacteria over space. Our results indicate that the disease may spread at an almost constant average speed. Although our approach can not give an explicit threshold in general, our conclusions imply that there exists a constant spreading speed and the numerical simulation is applicable to estimate the spreading ability of the disease in further application. Furthermore, if the parameters are constants, we obtain an explicit formulation of spreading speed. When incidence functions take the special form, the spreading speed is the minimal wave speed of traveling wave solutions in earlier works. Additionally, the theoretical findings of this work highlight that the movement of infected hosts and bacteria, and direct and indirect transmission routes are important factors affecting the spatial spreading ability of cholera. Nonmonotone system (dpeaa)DE-He213 Asymptotic spreading speed (dpeaa)DE-He213 Direct (dpeaa)DE-He213 Indirect transmission pathways (dpeaa)DE-He213 Pan, Shuxia aut Wang, Xueying aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 22(2023), 2 vom: 18. Feb. (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:22 year:2023 number:2 day:18 month:02 https://dx.doi.org/10.1007/s12346-023-00753-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 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_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2023 2 18 02
language	English
source	Enthalten in Qualitative theory of dynamical systems 22(2023), 2 vom: 18. Feb. volume:22 year:2023 number:2 day:18 month:02
sourceStr	Enthalten in Qualitative theory of dynamical systems 22(2023), 2 vom: 18. Feb. volume:22 year:2023 number:2 day:18 month:02
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Nonmonotone system Asymptotic spreading speed Direct Indirect transmission pathways
isfreeaccess_bool	false
container_title	Qualitative theory of dynamical systems
authorswithroles_txt_mv	Lin, Guo @@aut@@ Pan, Shuxia @@aut@@ Wang, Xueying @@aut@@
publishDateDaySort_date	2023-02-18T00:00:00Z
hierarchy_top_id	582026512
id	SPR049377736
language_de	englisch
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author	Lin, Guo
spellingShingle	Lin, Guo misc Nonmonotone system misc Asymptotic spreading speed misc Direct misc Indirect transmission pathways Spreading Speed of a Cholera Epidemic Model in a Periodic Environment
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topic_title	Spreading Speed of a Cholera Epidemic Model in a Periodic Environment Nonmonotone system (dpeaa)DE-He213 Asymptotic spreading speed (dpeaa)DE-He213 Direct (dpeaa)DE-He213 Indirect transmission pathways (dpeaa)DE-He213
topic	misc Nonmonotone system misc Asymptotic spreading speed misc Direct misc Indirect transmission pathways
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title	Spreading Speed of a Cholera Epidemic Model in a Periodic Environment
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title_full	Spreading Speed of a Cholera Epidemic Model in a Periodic Environment
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title_sort	spreading speed of a cholera epidemic model in a periodic environment
title_auth	Spreading Speed of a Cholera Epidemic Model in a Periodic Environment
abstract	Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion speed of the infection and the bacteria over space. Our results indicate that the disease may spread at an almost constant average speed. Although our approach can not give an explicit threshold in general, our conclusions imply that there exists a constant spreading speed and the numerical simulation is applicable to estimate the spreading ability of the disease in further application. Furthermore, if the parameters are constants, we obtain an explicit formulation of spreading speed. When incidence functions take the special form, the spreading speed is the minimal wave speed of traveling wave solutions in earlier works. Additionally, the theoretical findings of this work highlight that the movement of infected hosts and bacteria, and direct and indirect transmission routes are important factors affecting the spatial spreading ability of cholera. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion speed of the infection and the bacteria over space. Our results indicate that the disease may spread at an almost constant average speed. Although our approach can not give an explicit threshold in general, our conclusions imply that there exists a constant spreading speed and the numerical simulation is applicable to estimate the spreading ability of the disease in further application. Furthermore, if the parameters are constants, we obtain an explicit formulation of spreading speed. When incidence functions take the special form, the spreading speed is the minimal wave speed of traveling wave solutions in earlier works. Additionally, the theoretical findings of this work highlight that the movement of infected hosts and bacteria, and direct and indirect transmission routes are important factors affecting the spatial spreading ability of cholera. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not necessarily monotonic. When the initial distribution of infected hosts and bacteria appears on a compact domain, we derive a rough expansion speed of the infection and the bacteria over space. Our results indicate that the disease may spread at an almost constant average speed. Although our approach can not give an explicit threshold in general, our conclusions imply that there exists a constant spreading speed and the numerical simulation is applicable to estimate the spreading ability of the disease in further application. Furthermore, if the parameters are constants, we obtain an explicit formulation of spreading speed. When incidence functions take the special form, the spreading speed is the minimal wave speed of traveling wave solutions in earlier works. Additionally, the theoretical findings of this work highlight that the movement of infected hosts and bacteria, and direct and indirect transmission routes are important factors affecting the spatial spreading ability of cholera. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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title_short	Spreading Speed of a Cholera Epidemic Model in a Periodic Environment
url	https://dx.doi.org/10.1007/s12346-023-00753-8
remote_bool	true
author2	Pan, Shuxia Wang, Xueying
author2Str	Pan, Shuxia Wang, Xueying
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doi_str	10.1007/s12346-023-00753-8
up_date	2024-07-04T00:33:59.394Z
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Spreading Speed of a Cholera Epidemic Model in a Periodic Environment

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