具有收获率和阶段结构中立型捕食系统的多个正周期解

Multiple Positive Periodic Solutions of Neutral Predator-prey Systems with Harvesting Terms and Stage Structure

研究了一类具有收获率和阶段结构中立型捕食系统的正周期解。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,获得了该系统至少存在两个正周期解的充分条件。最后,列举一个例子说明所得结果的可行性。

The existence of positive periodic solution for a kind of neutral predator- prey system with harvesting terms and stagestructure is discussed. By using a continuation theorem based on coincidence degree theory and some inequality analysis,some newsufficient conditions of at least two positive periodic solutions for the system are established. Finally,an example is given to illustrate thefeasibility of the obtained results.