节点文献
一类具有Beddington-DeAngelis功能反应的离散病毒感染模型
A discrete viral infection model with Beddington-DeAngelis functional response
【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.
【Abstract】 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.
【关键词】 离散;
病毒感染模型;
功能反应;
平衡点;
持久性;
稳定性;
【Key words】 discrete; viral infection model; functional response; equilibrium; permanence; stability;
【Key words】 discrete; viral infection model; functional response; equilibrium; permanence; stability;
【基金】 福建省科技创新平台计划项目(2009J1007)
- 【文献出处】 闽江学院学报 ,Journal of Minjiang University , 编辑部邮箱 ,2012年02期
- 【分类号】O175
- 【被引频次】2
- 【下载频次】28