Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity
An in-host viral model with cure of infected cells and humoral immunity is studied. We prove that the stability is completely determined by the basic reproductive number R0 and show that the infection-free equilibrium E0 is globally asymptotically stable if and only if R0≤1. Moreover, if R0>1, th...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/102757 |
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| _version_ | 1832567053244956672 |
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| author | Hui Wang Rong Wang Zhixing Hu Fucheng Liao |
| author_facet | Hui Wang Rong Wang Zhixing Hu Fucheng Liao |
| author_sort | Hui Wang |
| collection | DOAJ |
| description | An in-host viral model with cure of infected cells and humoral immunity is studied. We prove that the stability is completely determined by the basic reproductive number R0 and show that the infection-free equilibrium E0 is globally asymptotically stable if and only if R0≤1. Moreover, if R0>1, the infection equilibrium is locally asymptotically stable when the time delay τ is small and it loses stability as the length of the time delay increases past a critical value τ0. Finally, we confirm our analysis by providing several numerical examples. |
| format | Article |
| id | doaj-art-b23f8943b58c4b50bd3276b8387c348d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b23f8943b58c4b50bd3276b8387c348d2025-02-03T01:02:33ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/102757102757Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral ImmunityHui Wang0Rong Wang1Zhixing Hu2Fucheng Liao3Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, ChinaDepartment of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, ChinaDepartment of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, ChinaDepartment of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, ChinaAn in-host viral model with cure of infected cells and humoral immunity is studied. We prove that the stability is completely determined by the basic reproductive number R0 and show that the infection-free equilibrium E0 is globally asymptotically stable if and only if R0≤1. Moreover, if R0>1, the infection equilibrium is locally asymptotically stable when the time delay τ is small and it loses stability as the length of the time delay increases past a critical value τ0. Finally, we confirm our analysis by providing several numerical examples.http://dx.doi.org/10.1155/2013/102757 |
| spellingShingle | Hui Wang Rong Wang Zhixing Hu Fucheng Liao Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity Journal of Applied Mathematics |
| title | Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity |
| title_full | Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity |
| title_fullStr | Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity |
| title_full_unstemmed | Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity |
| title_short | Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity |
| title_sort | stability analysis of an in host viral model with cure of infected cells and humoral immunity |
| url | http://dx.doi.org/10.1155/2013/102757 |
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