数学的实践与认识
數學的實踐與認識
수학적실천여인식
MATHEMATICS IN PRACTICE AND THEORY
2009年
18期
89-100
,共12页
脉冲%捕食者-食饵系统%正周期解%存在性%重合度
脈遲%捕食者-食餌繫統%正週期解%存在性%重閤度
맥충%포식자-식이계통%정주기해%존재성%중합도
impulsive effect%predator-prey system%positive periodic solutions%existence%coincidence degree
利用重合度理论中的延拓定理,研究了一类具脉冲和功能反应的捕食者.食饵系统的正周期解的存在性,得到了更为一般的条件,推广了已有文献的相关结果.
利用重閤度理論中的延拓定理,研究瞭一類具脈遲和功能反應的捕食者.食餌繫統的正週期解的存在性,得到瞭更為一般的條件,推廣瞭已有文獻的相關結果.
이용중합도이론중적연탁정리,연구료일류구맥충화공능반응적포식자.식이계통적정주기해적존재성,득도료경위일반적조건,추엄료이유문헌적상관결과.
With the help of a continuation theorem based on Mawhin's coincidence degree, we study the existence of positive periodic solutions for a kind of predator-prey system with impulsive effect and functional response. A set of easily verifiable sufficient conditions are derived. The results have extend the related reports in the literatures.
