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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 | |
| 引用本文： | 钟敏玲,刘秀湘. 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[J]. 应用数学学报, 2012, 35(2): 297-308 |
| 作者姓名： | 钟敏玲 刘秀湘 |
| 作者单位： | 1. 华南师范大学数学科学学院,广州510631;广东外语外贸大学信息科学技术学院,广州510006 2. 华南师范大学数学科学学院,广州,510631 |
| 基金项目： | 国家自然科学基金(10801056,10971057);高校博士点专项基金(20094407110001)资助项目 |
| 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. |
| 关 键 词： | Hassell-Varley-Holling功能性反应 捕食者-食饵系统 周期解 |
Necessary and Sufficient Conditions for the Existence of Periodic Solutions in an Impulsive Predator-prey System with Hassell-Varley-Holling Response |
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| ZHONG MINLING , LIU XIUXIANG. Necessary and Sufficient Conditions for the Existence of Periodic Solutions in an Impulsive Predator-prey System with Hassell-Varley-Holling Response[J]. Acta Mathematicae Applicatae Sinica, 2012, 35(2): 297-308 | |
| Authors: | ZHONG MINLING LIU XIUXIANG |
| Affiliation: | (School of Mathematical Sciences,South China Normal University,Guangzhou 510631) |
| 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. |
| Keywords: | Hassell-Varley-Holling response predator-prey model periodic solutions |
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