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Global stability of a delayed HIV infection model with nonlinear incidence rate

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Abstract

Under the assumption that the incidence rate of the infection and the removal rate of the infective by cytotoxic T lymphocytes are nonlinear, we study the global dynamics of a HIV infection model with the response of the immune system using characteristic equation, the Fluctuation lemma, and the direct Lyapunov method. The existence of a threshold parameter, i.e., the basic reproduction number or basic reproductive ratio is established and the global stability of the equilibria is discussed.

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Authors and Affiliations

  1. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, China

    Zhaohui Yuan

  2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China

    Zhongjun Ma

  3. School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan, 410083, China

    Xianhua Tang

Authors
  1. Zhaohui Yuan
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  2. Zhongjun Ma
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  3. Xianhua Tang
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Correspondence to Zhaohui Yuan.

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Yuan, Z., Ma, Z. & Tang, X. Global stability of a delayed HIV infection model with nonlinear incidence rate. Nonlinear Dyn 68, 207–214 (2012). https://doi.org/10.1007/s11071-011-0219-8

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  • DOI: https://doi.org/10.1007/s11071-011-0219-8

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