Modelling the Drugs Therapy for HIV Infection with Discrete-Time Delay
A discrete-time-delay differential mathematical model that described HIV infection of CD4+ T cells with drugs therapy is analyzed. The stability of the two equilibria and the existence of Hopf bifurcation at the positive equilibrium are investigated. Using the normal form theory and center manifold...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/294052 |
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| _version_ | 1849410734549630976 |
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| author | Xueyong Zhou Xiangyun Shi |
| author_facet | Xueyong Zhou Xiangyun Shi |
| author_sort | Xueyong Zhou |
| collection | DOAJ |
| description | A discrete-time-delay differential mathematical model that described HIV infection of CD4+ T cells with drugs therapy is analyzed. The stability of the two equilibria and the existence of Hopf bifurcation at the positive equilibrium are investigated. Using the normal form theory and center manifold argument, the explicit formulas which determine the stability, the direction, and the period of bifurcating periodic solutions are derived. Numerical simulations are carried out to explain the mathematical conclusions. |
| format | Article |
| id | doaj-art-5b202eb792d446f8bc1043b1dfa3b3ef |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5b202eb792d446f8bc1043b1dfa3b3ef2025-08-20T03:35:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/294052294052Modelling the Drugs Therapy for HIV Infection with Discrete-Time DelayXueyong Zhou0Xiangyun Shi1College of Mathematics and Information Science, Xinyang Normal University, Xinyang, Henan 464000, ChinaCollege of Mathematics and Information Science, Xinyang Normal University, Xinyang, Henan 464000, ChinaA discrete-time-delay differential mathematical model that described HIV infection of CD4+ T cells with drugs therapy is analyzed. The stability of the two equilibria and the existence of Hopf bifurcation at the positive equilibrium are investigated. Using the normal form theory and center manifold argument, the explicit formulas which determine the stability, the direction, and the period of bifurcating periodic solutions are derived. Numerical simulations are carried out to explain the mathematical conclusions.http://dx.doi.org/10.1155/2014/294052 |
| spellingShingle | Xueyong Zhou Xiangyun Shi Modelling the Drugs Therapy for HIV Infection with Discrete-Time Delay Abstract and Applied Analysis |
| title | Modelling the Drugs Therapy for HIV Infection with Discrete-Time Delay |
| title_full | Modelling the Drugs Therapy for HIV Infection with Discrete-Time Delay |
| title_fullStr | Modelling the Drugs Therapy for HIV Infection with Discrete-Time Delay |
| title_full_unstemmed | Modelling the Drugs Therapy for HIV Infection with Discrete-Time Delay |
| title_short | Modelling the Drugs Therapy for HIV Infection with Discrete-Time Delay |
| title_sort | modelling the drugs therapy for hiv infection with discrete time delay |
| url | http://dx.doi.org/10.1155/2014/294052 |
| work_keys_str_mv | AT xueyongzhou modellingthedrugstherapyforhivinfectionwithdiscretetimedelay AT xiangyunshi modellingthedrugstherapyforhivinfectionwithdiscretetimedelay |