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...
Ausführliche Beschreibung
Autor*in: |
Huang, MuGen [verfasserIn] Yu, JianShe [verfasserIn] Hu, LinChao [verfasserIn] Zheng, Bo [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
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2016 |
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Übergeordnetes Werk: |
Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 59(2016), 7 vom: 26. Apr., Seite 1249-1266 |
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Übergeordnetes Werk: |
volume:59 ; year:2016 ; number:7 ; day:26 ; month:04 ; pages:1249-1266 |
Links: |
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DOI / URN: |
10.1007/s11425-016-5149-y |
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SPR019143400 |
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520 | |a 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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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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Qualitative analysis for a Wolbachia infection model with diffusion |
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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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