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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-839
Full Name: Dongwei Huang
Position: Professor
Age: ON
Sex: Male
Address: School of Science£¬Tianjin Polytechnic University£¬Chenglin Road,Hedong District,Tianjin
Country: CHINA
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E-mail address: tjhuangdw@163.com
Other E-mails: wangyongzhao1987@126.com
Title of the Paper: Dynamic Behavior in a HIV Infection Model for the Delayed Immune Response
Authors as they appear in the Paper: Yongzhao Wang,Dongwei Huang,Shuangde Zhang,Hongjie Liu
Email addresses of all the authors: tjhuangdw@163.com,wangyongzhao1987@126.com,zhangsd@sina.com,545415386@qq.com
Number of paper pages: 10
Abstract: Considering full Logistic proliferation of CD4+ T-cells and retarded immune response, we analyze a HIV model in this paper. Global asymptotic stability of the infection-free equilibrium and immune-absent equilibrium is investigated, and Some conditions for Hopf bifurcation around infected equilibrium to occur are also obtained by using the time delayed as a bifurcation parameter. Numerical simulating are presented to illustrate the main results, and we can observe the effects of the proliferation rate of CD4+ T-cells for the dynamics of system. This results can explain the complexity of the immune state of AIDS.
Keywords: Global stability; Delayed immune response; Logistic proliferation
EXTENSION of the file: .doc
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How Did you learn about congress: HIV infection model ,Delayed immune response,Dynamic behavior,Full Logistic proliferation,Simulation
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