摘要
讨论了一个具有时滞与分布式反馈控制的阶段结构捕食-食饵系统,该模型考虑到了两类种群的个体都被划分为幼体与成体这一特征。通过应用比较定理以及重合度理论,获得了一组保证系统持久并存在正周期解的充分条件.
A non-autonomous stage-structured predator-prey model with delay and distributing feedback control is considered,in which the individuals of each species are divided into two stages i.e.,immature and mature.By using the technique of comparison arguments and coincidence degree theory,a set of sufficient conditions to guarantee the permanence and the existence of positive periodic solutions of the system is provided.
出处
《生物数学学报》
CSCD
2012年第3期395-405,共11页
Journal of Biomathematics
基金
Nature Science Foundation of Gansu province(1010RJZA127)
关键词
持久
周期解
重合度
阶段结构
分布式反馈控制
Permanence
Periodic solution
Coincidence degree
Stage structure
Distributing feedback control