摘要
研究一类具有Beddington-DeAngelis功能反应的离散病毒感染模型.利用差分方程的比较原理,研究非自治模型(3)的持久性,得到该系统持久性的充分条件.通过Jury判据法和构造合适的Lyapunov函数,得到模型(4)两个平衡点稳定性的一组充分条件.
A discrete viral infection model with Beddington-DeAngelis functional response is studied. By applying the comparison theorem of difference equation, sufficient conditions for the permanence of the non-autonomous model(3) is studied. Moreover, some sufficient conditions for the asymptotically stability of model (4) two equilibrium are obtained by using Jury criterion and constructing a suitable Lyapunov function.
出处
《闽江学院学报》
2012年第2期1-3,共3页
Journal of Minjiang University
基金
福建省科技创新平台计划项目(2009J1007)
关键词
离散
病毒感染模型
功能反应
平衡点
持久性
稳定性
discrete
viral infection model
functional response
equilibrium
permanence
stability