【摘要】 运用谱分析和分歧理论方法,在齐次Neumann边界条件下,研究了一类HIV感染CD4+-T细胞模型的稳定性.给出了正平衡态存在的条件,得到了模型ODE系统正常数平衡态局部渐进稳定的条件,以及PDE系统正常数平衡态稳定的条件,为预防和控制HIV在人体内传播提供理论依据.更多还原

【Abstract】 A model for HIV infection of CD4+- T cells model under Neumann boundary condition was considered,by means of spectrum analysis of operators and stability theory. The existence condition of positive equilibrium was given and the stability of the equilibrium state for the ODE system and the PDE system were given in this paper. This should give a theoretical basis to prevent and control HIV spread in the body.更多还原