一类感染细胞诱导未感染细胞凋亡的时滞微分方程病毒动力学模型稳定性的吸引域估计

Estimation of the Attractive Region of a Class of Delayed Virus Dynamics Model with Apoptosis of Uninfected T Cells by Infected T Cells

基于文献(M.A.Nowak,C.R.M.Bangham.Science,1996,272:74-79.)提出的一类描述HIV-1病毒感染的微分方程动力学模型,在进一步考虑感染的CD4^+T细胞诱导未感染CD4^+T细胞凋亡等因素基础上,给出一类改进的时滞微分方程病毒动力学模型,研究病毒感染平衡点稳定性的吸引域估计问题,同时给出相应的计算机数值模拟.

In this paper,based on the virus dynamical model of HIV-1 infection proposed by Nowak and Bangham（M.A.Nowak,C.R.M.Science,1996,272：74-79.） and the consideration of infected CD4-＋ T cells inducing the apoptosis of uninfected CD4-＋ T cells,we give an improved delay differential equations model for virus dynamics,and discuss the estimation of the attractive region of the infected equilibrium.Finally,we give also the corresponding computer numerical simulation.