两斑块环境中一般形式的捕食-食饵扩散生态系统的周期解

两斑块环境中一般形式的捕食-食饵扩散生态系统的周期解 Periodic Solutions for Generalized Predator-Prey Systems with Time Delay and Diffusion 李必文 LI Bi-wen 1 first-author 湖北师范学院数学系,湖北,黄石,435002 湖北师范学院数学系,湖北,黄石,435002 Department of Mathematics,Hubei Normal University Department of Mathematics,Hubei Normal University 考虑周期系数的两斑块环境中一般形式的捕食 食饵扩散生态系统,系统是由3种群组成的,其中一个为捕食者,另两个为食饵种群,食饵种群间存在扩散.本文利用拓扑度连续性定理,得到了该系统正周期解存在性的充分条件. One of the mast interesting topics in mathematical ecology concerns the existerce of periodic solution of ecological systems.In this paper,A generalized predator-prey system with diffusion in a two-patch environment is investigated.By using the continuation theorem of coincidence degree theory,the sufficient conditions of the existence of positive periodic solutions for the system are obtaimod. 正周期解 捕食食饵生态系统 扩散 拓扑度连续性定理 Q141 国家自然科学基金资助项目（19531070）;湖北省教育厅青年基金资助项目（2002B00002） 2003-05-01 2021-04-01 5