2008-YangEtAl-A Differential Equation Model of HIV Infection of CD T-Cells with Delay

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Abstract

Yang, Junyuan , Xiaoyan Wang, and Fengqin Zhang. 2008. A Differential Equation Model of HIV Infection of CD T-Cells with Delay

Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time delay. e ODE model shows that the dynamics is completely determined by the basic reproduction number R0<1. If R0<1, the disease-free equilibrium is asymptotically stable and the disease dies out. If R0>1, a unique endemic equilibrium exists and is globally stable in the interior of the feasible region. In the DDE model, the delay stands for the incubation time. We prove the effect of that delay on the stability of the equilibria. We show that the introduction of a time delay in the virus-to-healthy cells transmission term candestabilize the system, and periodic solutions can arise through Hopf bifurcation.

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Researchers should cite this work as follows:

  • Brian Winkel (2018), "2008-YangEtAl-A Differential Equation Model of HIV Infection of CD T-Cells with Delay," https://simiode.org/resources/5186.

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