摘要
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.
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.
出处
《南华大学学报（自然科学版）》
2014年第1期77-83,共7页
Journal of University of South China：Science and Technology
基金
南华大学研究生科研创新基金资助项目(2012XCX05)
湖南省自然科学基金资助项目(s2014j5041)
关键词
隐蔽期
免疫因子
脉冲微分方程
HIV治疗模型
稳定性
the eclipse phase
immune factors
impulsive differential equation
HIV treat-ment model
stability
