GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE

It is well known that the mathematical models provide very important information for the research of human immunodeciency virus type. However, the infection rate of almost all mathematical models is linear. The linearity shows the simple interaction between the T-cells and the viral particles. In this paper, a differential equation model of HIV infection of CD4 + T-cells with Crowley-Martin function response is studied. We prove that if the basic reproduction number R0 1, the HIV infection persists in the host. Wend that the chronic disease steady state is globally asymptotically stable if R0 > 1. Numerical simulations are presented to illustrate the results.

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