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具有HollingⅢ类功能反应捕食者食脉冲系统正周期解的存在性
Existence of Positive Periodic Solution for Predator-Prey Impulsive Differential System with Holling Ⅲ Functional Response
【摘要】 利用重合度理论中的连续性定理研究一类具有HollingⅢ类功能反应捕食者食脉冲系统正周期解的存在性,建立了存在正周期解的充分条件,推广并改进了已有的相关结果.
【Abstract】 We investigated the existence of positive periodic solution to predator-prey impulsive differential system with Holling Ⅲ functional response.A set of verifiable sufficient conditions of positive periodic solution for the system are obtained by means of continuity theorem in coincidence degree.The paper generalizes and improves the results in the literature.
【关键词】 捕食者食脉冲系统;
正周期解;
脉冲微分方程;
重合度;
【Key words】 predator-prey system; positive periodic solution; impulsive differential equation; coincidence(degree);
【Key words】 predator-prey system; positive periodic solution; impulsive differential equation; coincidence(degree);
【基金】 国家自然科学基金(批准号:10171010)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2006年02期
- 【分类号】O175.1
- 【被引频次】11
- 【下载频次】146