隐蔽期脉冲输注免疫因子HIV治疗模型的稳定性研究

考虑一类健康CD4＋T细胞、隐蔽期感染细胞和有效感染细胞的HIV治疗模型，得到了无脉冲免疫因子输注时治疗模型未感染平衡点和感染平衡点局部渐近稳定的充分条件；利用脉冲微分方程的比较定理和Floquent乘子理论获得了脉冲输注免疫因子时系统无病周期解的全局渐近稳定性充分条件以及健康细胞存活率范围；通过数值模拟验证了所获得的理论结论。

Stability Study of an HIV Treatment Model with Impulsive Infusing Immune Factors in the Eclipse Phase

In this paper,we consider a class of HIV treatment model with uninfected CD4＋T cells,infected CD4＋T cells in the eclipse phase and productively infected cells. Then we get the sufficient condition of locally asymptotic stability of uninfected and infected e-quilibriums in the treament model without impulsive infusing immune factors. By using the comparison theorem of impulsive differential equation and Floquent multiplier theory, we obtain the sufficient conditions for the global asymptotic stability of the disease-free period-ic solution in this system with impulsive infusing immune factors and healthy cell survival. Finally,some numerical simulation are carried on to verify the effectiveness of the theoreti-cal results obtained.