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脉冲时滞Hassell-Varley-Holling功能性反应捕食者—食饵系统周期解存在的充要条件
Necessary and Sufficient Conditions for the Existence of Periodic Solutions in an Impulsive Predator-prey System with Hassell-Varley-Holling Response
【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.
【Abstract】 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.
【关键词】 Hassell-Varley-Holling功能性反应;
捕食者-食饵系统;
周期解;
【Key words】 Hassell-Varley-Holling response; predator-prey model; periodic solutions;
【Key words】 Hassell-Varley-Holling response; predator-prey model; periodic solutions;
【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
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2012年02期
- 【分类号】O175.1
- 【被引频次】3
- 【下载频次】140