CD_4^+ T细胞感染HIV病毒模型动力学性质分析

Dynamics property analysis of model for HIV infection of CD_4^+ T cells

在不带有时滞的ODE模型的基础上,考虑离散的时间滞后因素,构造了一个新的DDE模型,据此分析并论证了CD_4^+T细胞感染HIV病毒模型的动力学性质,研究了时间滞后因素对感染平衡点稳定性的影响,得到了该类模型稳定性的充分条件,并通过数值模拟验证了结论的正确性.

A mathematical model that describes HIV infection of T cells was analyzed. Dynamics of the model was rigorously established. The ODE model was introduced and the dynamics of this model was discussed. Then, a discrete time delay to the model to describe the time between infection of a T cells and the emission of viral particles on a cellular level was introduced. The effect of the time delay on the stability of the infected equilibrium was also studied. Numerical simulations were presented to illustrate the results.