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Dynamics Analysis of a Viral Infection Model with a General Standard Incidence Rate

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  • Yu Ji
  • Muxuan Zheng

Abstract

The basic viral infection models, proposed by Nowak et al. and Perelson et al., respectively, have been widely used to describe viral infection such as HBV and HIV infection. However, the basic reproduction numbers of the two models are proportional to the number of total cells of the host′s organ prior to the infection, which seems not to be reasonable. In this paper, we formulate an amended model with a general standard incidence rate. The basic reproduction number of the amended model is independent of total cells of the host’s organ. When the basic reproduction number R0 1, then the endemic equilibrium is globally asymptotically stable and the virus persists in the host.

Suggested Citation

  • Yu Ji & Muxuan Zheng, 2014. "Dynamics Analysis of a Viral Infection Model with a General Standard Incidence Rate," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:586035
    DOI: 10.1155/2014/586035
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    References listed on IDEAS

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    1. Wang, Tianlei & Hu, Zhixing & Liao, Fucheng & Ma, Wanbiao, 2013. "Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 89(C), pages 13-22.
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