具有阶段结构的中立型捕食系统的正周期解

Positive Periodic Solutions of Neutral Predator-Prey Systems with Stage Structure

研究具有功能反应和时滞阶段结构的中立型捕食系统存在多个正周期解有着非常重要的意义.提出了一类具有Holling Ⅳ类功能反应和时滞阶段结构的中立型捕食系统.通过利用重合度理论中的延拓定理和一些不等式分析技巧,细致分析系统的解的界,给出了2种可能情形,获得了该系统至少存在2个正周期解的充分条件.

It is very important to study the existence of multiple positive periodic solutions of neutral predator prey systems with functional response and delay stage structure. A system is proposed to a neutral predator-prey system with Holling type IV functional response and time delay and stage structure. By using a continuation theorem based on coincidence degree theory and some inequality analysis techniques, the bounds of solutions of this system are analyzed in detail. Two possible cases are given and some sufficient conditions of the at least two positive periodic solutions for the system are established.