具有连续时滞的Holling Ⅲ功能性反应捕食系统的持久性和全局吸引性  

Permanence and global stability of a predator-prey system with Holling Ⅲ type functional response and continuous time-delay

作　　者：赖尾英[1] 

机构地区：[1]福建农林大学计算机与信息学院,福建福州350002

出　　处：《福建农林大学学报（自然科学版）》2009年第2期221-224,共4页Journal of Fujian Agriculture and Forestry University:Natural Science Edition

摘　　要：讨论了一类具有连续时滞的Holling Ⅲ功能性反应的两种群捕食-食饵系统,利用微分方程比较定理得到保证此系统持久性的充分性条件;通过构造适当的Lyapunov函数的方法,得到了保证此系统全局稳定的充分条件.A predator-prey system with Holling Ⅲ type functional response and continuous time-delay was discussed, some sufficient conditions which guaranteed the permanence of the system were determined by the comparison theory of differential equation; suffi- cient conditions were derived for the global asymptotic stability of the system by means of a suitable Lyapunov function.

关 键 词：HollingⅢ功能性反应 连续时滞 一致持久性 全局吸引性 

分 类 号：O175.14[理学—数学]