一类具有时滞和阶段结构的捕食系统的持久性和全局吸引性  

Permanence and global stability of a predator-prey system with stage structure and time-delay

作　　者：赖尾英[1] 温永仙[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）》2012年第2期219-224,共6页Journal of Fujian Agriculture and Forestry University:Natural Science Edition

基　　金：福建省科技厅资助项目(2009J1007)

摘　　要：讨论了一类具有连续时滞和阶段结构的捕食-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;利用迭代方法探讨了此模型的平衡点问题,得到保证此系统全局稳定的充分条件,并通过具体实例证明该条件是可行的.A predator-prey system with time-delay and stage structure was discussed, some sufficient conditions which guaranteed the permanence of system were determined by using comparison theory; by means of an iterative method, sufficient conditions were derived for the global asymptotic stability of system. Finally an example showed that the conditions were feasible.

关 键 词：阶段结构 时滞 一致持久性 全局稳定性 

分 类 号：O175.14[理学—数学]