摘要
该文研究了一类具有收获率和扩散的时滞阶段结构捕食系统周期解存在性问题,利用重合度理论中的延拓定理,通过一些分析技巧,获得了该系统至少存在四个正周期解的充分条件.
In this paper, the author studies the existence of periodic solutions for a delayed stage-structure predator-prey system with harvesting rate and diffusion. By developing some technique of analysis and using continuation theorem based on coincidence degree, some sufficient conditions are derived, under which this system has at least four positive periodic solutions.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2009年第6期1613-1622,共10页
Acta Mathematica Scientia
基金
国家自然科学基金(10671133)资助
关键词
收获率
单调功能反应
扩散
阶段结构捕食系统
正周期解
重合度.
Harvesting rate
Monotonic functional response
Diffusion
Stage-structure predatorprey system
Positive periodic solution
Coincidence degree.
