摘要
利用重合度理论中的延拓定理研究了一类具有Holling Ⅱ型功能性反应的捕食者一食铒系统非平凡周期解的存在性,其中食饵种群服从Smith增长,捕食者种群具有密度制约效应,得到了存在正周期解的充分性判据,推广并改进了已知的相关结果.
Sufficient criteria are established for the existence of positive periodic solutions for a predator-prey system with Holling Ⅱtype functional response, where the prey obeys the Smith growth law and the predator has density-dependent effect. The approach is based on the application of continuation theorem in Mawhin's coincidence degree theroy. More general and fresh results are obtained, which improve some known results.
出处
《生物数学学报》
CSCD
2004年第2期161-168,共8页
Journal of Biomathematics
基金
国家自然科学基金项目(10171010
10201005)
教育部科学技术研究重点项目(重点01061)
吉林省杰出青年基金项目
