一类时滞捕食系统的Hopf分岔

Hopf Bifurcation for a Predator-prey System with Delay

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摘要针对一类具有时滞和功能响应的捕食者-食饵系统,通过讨论对应特征方程的根的分布,得到了存在Hopf分岔的充分条件. The delayed predator-prey system with functional responses is investigated. By analyzing the distribution of roots of the corresponding characteristic equation, sufficient conditions for existence of Hopf bifurcation are obtained.

作者温朝晖庄科俊

机构地区安徽财经大学统计与应用数学学院

出处《三峡大学学报（自然科学版）》 CAS 2008年第6期103-104,共2页 Journal of China Three Gorges University：Natural Sciences

基金安徽省教育厅自然科学重点项目(2005KJ030ZD)

关键词捕食系统 HOPF分岔周期解 predator-prey system Hopf bifurcation periodic solutions

分类号 O29 [理学—应用数学]

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参考文献6

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二级参考文献6

1郭坤,潘家齐.具时滞和Holling功能性反应的捕食-被捕食系统的稳定性及Hopf分支[J].黑龙江大学自然科学学报,2006,23(4):502-505. 被引量：3
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1刘迎媛,周铁军.具有阶段结构的时滞捕食与被捕食系统的持久性[J].湖南文理学院学报（自然科学版）,2015,27(2):10-13. 被引量：1
2周铁军,向美红,刘迎媛.具有非单调功能响应及阶段结构的时滞捕食与被捕食系统的概周期性[J].邵阳学院学报（自然科学版）,2016,13(4):5-10.
3Liao Jiawu Chen Fulai.PERSISTENCE AND PERIODIC SOLUTIONS FOR NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH IMPULSES[J].Annals of Differential Equations,2006,22(4):511-516.
4陈华雄,沈建和,周哲彦.一类具有Holling-Ⅱ功能响应的食饵-捕食者模型的解析定量研究[J].福建师范大学学报（自然科学版）,2012,28(2):27-31.
5Cuimei ZHANG,Wencheng CHEN,Yu YANG.PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING II TYPE FUNCTIONAL RESPONSE[J].Journal of Systems Science & Complexity,2006,19(4):449-460. 被引量：4
6Ji-caiHuang,Dong-meiXiao.Analyses of Bifurcations and Stability in a Predator-prey System with Holling Type-Ⅳ Functional Response[J].Acta Mathematicae Applicatae Sinica,2004,20(1):167-178. 被引量：15
7BingLiu,YingZhi,Lan-sunChen.The Dynamics of a Predator-prey Model with Ivlev's Functional Response Concerning Integrated Pest Management[J].Acta Mathematicae Applicatae Sinica,2004,20(1):133-146. 被引量：8
8李铁风.介电高弹聚合物力电行为研究与器件设计[J].固体力学学报,2013,34(2):213-216. 被引量：3

三峡大学学报（自然科学版）

2008年第6期

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一类时滞捕食系统的Hopf分岔

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