具有非线性传染率的病毒动力学模型的稳定性分析OACSTPCD
ANALYSIS FOR A MODEL OF PROPERTIES OF VIRUS DYNAMICS WITH NONLINEAR INFECTION RATE
运用Lyapunov第二方法,通过构造Lyapunov函数讨论了具有非线性传染率βxυ/ 1+υ及免疫反应的病毒动力学模型的全局渐近稳定性,并且得到了无病平衡点、无免疫平衡点以及正平衡点存在的阈值条件和全局稳定性.
Explicit Lyapunov functions for our dynamics model with immune response with nonlinear incidence of the form βxv/1+v are introduced in this paper, and global asymptoticallystable of the mode are there by established. We are obtained that the threshold of immune-free equilibrium and endemic equilibrium.
王佳颖;窦霁虹;童姗姗
西北大学数学系,陕西西安 710127西北大学数学系,陕西西安 710127西北大学数学系,陕西西安 710127
数学
全局渐近稳定性Lyapunov函数非线性传染率基本再生数
globally asymptotically stable Lyapunov function nonliear incidence basic reproductive number
《陕西科技大学学报（自然科学版）》 2011 (5)
136-139,144,5
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