Position: Home > Articles > A Within-Host Chikungunya Virus Infection Model with Delay
Journal of Southwest University(Natural Science Edition)
2016,38
(5)
80-85
基孔肯雅病毒在宿主体内的时滞动力学模型
作 者：
王艳;刘贤宁
单 位：
西南大学数学与统计学院
关键词：
宿主体内模型;基孔肯雅病毒;离散时滞;Lyapunov泛函;全局稳定性
摘 要：
建立并分析了一个考虑基孔肯雅病毒在宿主体内的离散时滞动力学模型.首先,证明了解的正性和有界性,并计算出基本再生数R0;其次,讨论了模型平衡点的存在性,得出无感染平衡点始终存在,而当R0>1时,存在唯一的地方病平衡点;最后,通过构造Lyapunov泛函,得到了无病平衡点的全局稳定性及地方病平衡点的全局稳定性.
译 名：
A Within-Host Chikungunya Virus Infection Model with Delay
作 者：
WANG Yan;LIU Xian-ning;Department of Mathematics and Statistics,Southwest University;
关键词：
within-host model;;Chikungunya virus infection;;discrete delay;;Lyapunov function;;global stability
摘 要：
In this paper,a within-host Chikungunya virus infection model with discrete delays is considered and analyzed.Firstly,the positivity and boundedness of solutions are proved and the basic reproductive number R0 is computed.Secondly,the existence of equilibria is discussed.There always exists a virus-free equilibrium point,and there is a unique endemic equilibrium point when R0>1.Finally,the global stabilities of the virus-free equilibrium and endemic equilibrium are obtained by constructing Lyapunov functions.
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