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具有Holling-Ⅱ型时滞捕食系统正周期解的存在性
Existence of Positive Periodic Solutions of Predator-Prey System with Holling-Ⅱ and Time Delay
【摘要】 研究了一类具有功能性反应(Holling-Ⅱ)的时滞捕食系统。利用重合度理论证明并得到了系统正周期解存在性的充分条件。
【Abstract】 This paper investigates a three species of predator-prey chains models with a delay of time and the Holling-Ⅱ functional response.By using Gains and Mawhins continuation theorem of coincidence degree theory,a set of easily verifiable sufficient conditions are obtained to guarantee the existence of positive periodic solutions of the system.
【关键词】 捕食-食饵模型;
时滞;
功能性反应;
周期解;
重合度理论;
【Key words】 predator-prey model; time delay; functional response; coincidence degree theory; periodic solution;
【Key words】 predator-prey model; time delay; functional response; coincidence degree theory; periodic solution;
- 【文献出处】 柳州师专学报 ,Journal of Liuzhou Teachers College , 编辑部邮箱 ,2006年03期
- 【分类号】O175;Q141
- 【下载频次】48