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一类食饵捕食系统的Hopf分岔及周期解的稳定性 被引量：1

Hopy Bifurcation Stability in a Predator-Prey Model witb Time Delays
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摘要 首先建立了具有时滞的三种群食饵捕食模型,并研究了平衡点的存在性,接着应用规范化方法和中心流行定理研究了Hopf分岔以及分岔周期解的稳定性.并举例论证. A mathematical model of there species with time-delay is investigated, the necessary and sufficient of the stable equilibrium point for this model is studied. And, the direction of Hopf bifurcation as well as stability of periodic solution are studied. The method which we used is the normal form theory and center manifold. The example is given to illustrate the results.
作者 陈红兵 何万生
机构地区 天水师范学院数统学院
出处 《生物数学学报》 CSCD 2012年第1期65-76,共12页 Journal of Biomathematics
基金 甘肃省自然科学基金项目(096RJZE106) 天水师范学院中青年基金项目(TSA1005)
关键词 HOPF分支 稳定性 时滞 食饵捕食系统 平衡点 Hopf bifurcation Stability Time delay Predator-Prey system Equilibrium point
分类号 O175.17 [理学—基础数学]
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参考文献19

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二级参考文献16

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生物数学学报
2012年 第1期

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