Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion
In this paper, we investigate single-strain and multistrain viral infection models with general incidence function and density-dependent diffusion subject to the homogeneous Neumann boundary conditions. For the single-strain viral infection model, by using the linearization method and constructing a...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/4923856 |
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| author | Xiaosong Tang Zhiwei Wang Jianping Yang |
| author_facet | Xiaosong Tang Zhiwei Wang Jianping Yang |
| author_sort | Xiaosong Tang |
| collection | DOAJ |
| description | In this paper, we investigate single-strain and multistrain viral infection models with general incidence function and density-dependent diffusion subject to the homogeneous Neumann boundary conditions. For the single-strain viral infection model, by using the linearization method and constructing appropriate Lyapunov functionals, we obtain that the global threshold dynamics of the model is determined by the reproductive numbers for viral infection ℛ0. For the multistrain viral infection model, we have discussed the competitive exclusion problem. If the reproduction number ℛi for strain i is maximal and larger than one, the steady state Ei corresponding to the strain i is globally stable. Thus, competitive exclusion happens and all other strains die out except strain i. Meanwhile, we can prove that the single-strain and multistrain viral infection models are well posed. Furthermore, numerical simulations are also carried out to illustrate the theoretical results, which is seldom seen in the relevant known literatures. |
| format | Article |
| id | doaj-art-e26fac849d5e403b94121b73158f87eb |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e26fac849d5e403b94121b73158f87eb2025-02-03T01:04:39ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/49238564923856Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent DiffusionXiaosong Tang0Zhiwei Wang1Jianping Yang2School of Mathematics and Physics, Jinggangshan University, Ji’an 343009, ChinaSchool of Mathematics and Physics, Jinggangshan University, Ji’an 343009, ChinaSchool of Electronics and Information Engineering, Jinggangshan University, Ji’an 343009, ChinaIn this paper, we investigate single-strain and multistrain viral infection models with general incidence function and density-dependent diffusion subject to the homogeneous Neumann boundary conditions. For the single-strain viral infection model, by using the linearization method and constructing appropriate Lyapunov functionals, we obtain that the global threshold dynamics of the model is determined by the reproductive numbers for viral infection ℛ0. For the multistrain viral infection model, we have discussed the competitive exclusion problem. If the reproduction number ℛi for strain i is maximal and larger than one, the steady state Ei corresponding to the strain i is globally stable. Thus, competitive exclusion happens and all other strains die out except strain i. Meanwhile, we can prove that the single-strain and multistrain viral infection models are well posed. Furthermore, numerical simulations are also carried out to illustrate the theoretical results, which is seldom seen in the relevant known literatures.http://dx.doi.org/10.1155/2020/4923856 |
| spellingShingle | Xiaosong Tang Zhiwei Wang Jianping Yang Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion Complexity |
| title | Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion |
| title_full | Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion |
| title_fullStr | Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion |
| title_full_unstemmed | Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion |
| title_short | Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion |
| title_sort | threshold dynamics and competitive exclusion in a virus infection model with general incidence function and density dependent diffusion |
| url | http://dx.doi.org/10.1155/2020/4923856 |
| work_keys_str_mv | AT xiaosongtang thresholddynamicsandcompetitiveexclusioninavirusinfectionmodelwithgeneralincidencefunctionanddensitydependentdiffusion AT zhiweiwang thresholddynamicsandcompetitiveexclusioninavirusinfectionmodelwithgeneralincidencefunctionanddensitydependentdiffusion AT jianpingyang thresholddynamicsandcompetitiveexclusioninavirusinfectionmodelwithgeneralincidencefunctionanddensitydependentdiffusion |