Global Stability of a Virus Infection Model with Time Delay and Absorption
In this paper, a virus infection model with time delay and absorption is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the model is established. By using comparison arguments, it is shown that the infection free equilibrium is...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/152415 |
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| _version_ | 1850178379179884544 |
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| author | Xiaohong Tian Rui Xu |
| author_facet | Xiaohong Tian Rui Xu |
| author_sort | Xiaohong Tian |
| collection | DOAJ |
| description | In this paper, a virus infection model with time delay and absorption is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the model is established. By using comparison arguments, it is shown that the infection free equilibrium is globally asymptotically stable when the basic reproduction ratio is less than unity. When the basic reproduction ratio is greater than unity, sufficient conditions are derived for the global stability of the virus-infected equilibrium. Numerical simulations are carried out to illustrate the theoretical results. |
| format | Article |
| id | doaj-art-c4a8b39e76ff42759182a67d1ca3f281 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c4a8b39e76ff42759182a67d1ca3f2812025-08-20T02:18:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/152415152415Global Stability of a Virus Infection Model with Time Delay and AbsorptionXiaohong Tian0Rui Xu1Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, No. 97 Heping West Road, Shijiazhuang 050003, Hebei Province, ChinaInstitute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, No. 97 Heping West Road, Shijiazhuang 050003, Hebei Province, ChinaIn this paper, a virus infection model with time delay and absorption is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the model is established. By using comparison arguments, it is shown that the infection free equilibrium is globally asymptotically stable when the basic reproduction ratio is less than unity. When the basic reproduction ratio is greater than unity, sufficient conditions are derived for the global stability of the virus-infected equilibrium. Numerical simulations are carried out to illustrate the theoretical results.http://dx.doi.org/10.1155/2011/152415 |
| spellingShingle | Xiaohong Tian Rui Xu Global Stability of a Virus Infection Model with Time Delay and Absorption Discrete Dynamics in Nature and Society |
| title | Global Stability of a Virus Infection Model with Time Delay and Absorption |
| title_full | Global Stability of a Virus Infection Model with Time Delay and Absorption |
| title_fullStr | Global Stability of a Virus Infection Model with Time Delay and Absorption |
| title_full_unstemmed | Global Stability of a Virus Infection Model with Time Delay and Absorption |
| title_short | Global Stability of a Virus Infection Model with Time Delay and Absorption |
| title_sort | global stability of a virus infection model with time delay and absorption |
| url | http://dx.doi.org/10.1155/2011/152415 |
| work_keys_str_mv | AT xiaohongtian globalstabilityofavirusinfectionmodelwithtimedelayandabsorption AT ruixu globalstabilityofavirusinfectionmodelwithtimedelayandabsorption |