摘要
研究一类具Hassell-Varley-Holling功能性反应的非自治脉冲时滞捕食者一食饵系统的周期解存在性问题.基于重合度理论的延拓定理,发展了一种新的解的估计技巧,并运用拓扑度的同伦不变性,得到了这类系统周期解存在的充要条件.
This paper considers the existence of periodic solutions in an impulsive predatorprey system with Hassell-Varley-Holling response.Based on continuous theorem of coindence theory,we develop a new estimate technique and obtain the necessary and sufficient conditions for the existence of periodic solutions by the invariance property of homotopy.
出处
《应用数学学报》
CSCD
北大核心
2012年第2期297-308,共12页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10801056
10971057)
高校博士点专项基金(20094407110001)资助项目
