摘要
有特殊 Holling- 功能的回答的二猎物的一个食肉动物系统被讨论。食肉动物扑灭的那个 w 周期的答案 asymptotically 是全球的马厩被一些新方法证明。由冲动的微分方程的比较定理,而且,足够的条件为永久性和系统的周期的答案的存在被导出。
two-prey one-predator system with a special Holling-Ⅱ functional response is discussed. That w-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.
基金
Supported by the Education Department Natural Science Foundation of Henan Province (2008A180041)