摘要
利用重合度理论中的延拓定理讨论了捕食者具有阶段结构Holling Ⅱ类功能性反应的捕食模型的正周期解的存在性,得到了保证周期解存在的充分性条件,推广了已知的相关结果.同时通过构造Lyapunov函数得到了保证周期解稳定性的充分性条件.
By using a continuation theorem based on Gaines and Mawhin's coincidence degree, the authors study the global exisence of :positive periodic solutions of a delayed predator-prey system with Holling II type response and stage structure for predator. A set of easily verifiable sufficient conditions is obtained, which improves some known results. Also, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the global attractivity of the positive periodic solution are obtained.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2006年第1期93-103,共11页
Acta Mathematica Scientia
基金
国家自然科学基金(天元基金)(10426010)
福建省青年科技人才创新基金(2004J002)
福建省教育厅基金(JA04156)
福州大学校科技发展基金(2003-XQ-21)资助