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Mathematical analysis of a virus dynamics model with general incidence rate and cure rate. (English) Zbl 1254.92065

Summary: The rate of infection in many virus dynamics models is assumed to be bilinear in the virus and uninfected target cells. In this paper, the dynamical behavior of a virus dynamics model with general incidence rate and cure rate is studied. Global dynamics of the model is established. We prove that the virus is cleared and the disease dies out if the basic reproduction number \(R_{0}\leq 1\) while the virus persists in the host and the infection becomes endemic if \(R_{0}>1\).

MSC:

92C60 Medical epidemiology
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