Hopf Bifurcation for a Model of HIV Infection of CD4+ T Cells with Virus Released Delay
A viral model of HIV infection of CD4+ T-cells with virus released period is formulated, and the effect of this released period on the stability of the equilibria is investigated. It is shown that the introduction of the viral released period can destabilize the system, and the period solution may...
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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/10.1155/2011/649650 |
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| _version_ | 1832553382110298112 |
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| author | Jun-Yuan Yang Xiao-Yan Wang Xue-Zhi Li |
| author_facet | Jun-Yuan Yang Xiao-Yan Wang Xue-Zhi Li |
| author_sort | Jun-Yuan Yang |
| collection | DOAJ |
| description | A viral model of HIV infection of CD4+ T-cells with virus
released period is formulated, and the effect of this released period on the stability of the equilibria is investigated. It is shown that the introduction of the viral released period can destabilize the system, and the period solution may arise. The direction and stability of the Hopf bifurcation are also discussed. Numerical simulations are presented to illustrate the results. |
| format | Article |
| id | doaj-art-2649f469717c4d9589140d89fa2eed9c |
| institution | Kabale University |
| 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-2649f469717c4d9589140d89fa2eed9c2025-02-03T05:54:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/649650649650Hopf Bifurcation for a Model of HIV Infection of CD4+ T Cells with Virus Released DelayJun-Yuan Yang0Xiao-Yan Wang1Xue-Zhi Li2Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, ChinaDepartment of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, ChinaDepartment of Mathematics, Xinyang Normal University, Xinyang 464000, Henan, ChinaA viral model of HIV infection of CD4+ T-cells with virus released period is formulated, and the effect of this released period on the stability of the equilibria is investigated. It is shown that the introduction of the viral released period can destabilize the system, and the period solution may arise. The direction and stability of the Hopf bifurcation are also discussed. Numerical simulations are presented to illustrate the results.http://dx.doi.org/10.1155/2011/649650 |
| spellingShingle | Jun-Yuan Yang Xiao-Yan Wang Xue-Zhi Li Hopf Bifurcation for a Model of HIV Infection of CD4+ T Cells with Virus Released Delay Discrete Dynamics in Nature and Society |
| title | Hopf Bifurcation for a Model of HIV Infection of CD4+ T Cells with Virus Released Delay |
| title_full | Hopf Bifurcation for a Model of HIV Infection of CD4+ T Cells with Virus Released Delay |
| title_fullStr | Hopf Bifurcation for a Model of HIV Infection of CD4+ T Cells with Virus Released Delay |
| title_full_unstemmed | Hopf Bifurcation for a Model of HIV Infection of CD4+ T Cells with Virus Released Delay |
| title_short | Hopf Bifurcation for a Model of HIV Infection of CD4+ T Cells with Virus Released Delay |
| title_sort | hopf bifurcation for a model of hiv infection of cd4 t cells with virus released delay |
| url | http://dx.doi.org/10.1155/2011/649650 |
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