一类基于游离病毒感染和细胞-细胞传播的宿主体内 HIV-1 感染动力学模型

Abstract

Abstract:

In this paper, we consider an HIV-1 infection model with cell-to-cell transmission, intracellular delay, saturated CTL immune response and immune impairment. By calculation, we get immunity-inactivated and immunity-activated reproduction ratios. By analyzing the characteristic equations, the local stability of each of feasible equilibria is established. By means of suitable Lyapunov functional and LaSalle's invariance principle, it is proved that the global asymptotic stability of each of feasible equilibria is determined by immunity-inactivated and immunity-activated reproduction ratios: If the immunity-inactivated reproduction ratio is less than unity, the infection-free equilibrium is globally asymptotically stable; if the immunity-inactivated reproduction ratio is greater than unity and the immunity-activated reproduction ratio is less than unity, the immunity-inactivated infection equilibrium is globally asymptotically stable; if the immunity-activated reproduction ratio is greater than unity, the chronic infection equilibrium is globally asymptotically stable. In addition, numerical simulation is carried out to illustrate the effects of immune impairment and cell-to-cell transmission on dynamics of the model.

Key words: HIV-1 infection, Cell-to-cell transmission, Intracellular delay, Saturated CTL immune response, Immune impairment, Stability

CLC Number:

O175.23

Xu Rui, Zhou Kaijuan, Bai Ning. A with-in Host HIV-1 Infection Dynamics Model Based on Virus-to-cell Infection and Cell-to-cell Transmission[J].Acta mathematica scientia,Series A, 2024, 44(3): 771-782.

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A with-in Host HIV-1 Infection Dynamics Model Based on Virus-to-cell Infection and Cell-to-cell Transmission

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