具有收获率的扩散捕食系统的8个正概周期解

Eight Positive Almost Periodic Solutions for Diffusive Predator-Prey System with Harvesting Terms

提出了一类具有收获率和Hassell-Varley功能反应的扩散捕食系统,通过利用重合度理论中的延拓定理和不等式分析技巧,细致分析了该系统解的先验界的8种可能存在情形,从而获得了其至少存在8个正概周期解的充分条件.

A kind of diffusion predator-prey systems with Hassell-Varley functional responses and harvesting terms is proposed. By using a continuation theorem based on coincidence degree theory and inequality analysis,eight possible cases of the prior boundary of the solution of the system are analyzed in detail,and the sufficient conditions of least eight positive almost periodic solutions of the system are established.