一类食饵具有阶段结构的时滞Predator-Prey系统的周期解

摘要

研究了一类时滞Predator-Prey系统,其中Prey种群是具有两个生命阶段的种群,即幼年阶段和成年阶段.Predator种群只能捕食Prey幼年种群.通过应用Gaines和Mawhin重合度理论的连续函数定理,给出了系统正周期解存在的充分条件.%A Predator-Prey system with time delay is considered. There are, immature and mature, two stage for prey species in the system. By using the continuation theorem of Gaines and Mawhin's coincidence degree theory, a sufficient condition is derived for the existence periodic positive solution.