| 一类具有阶段结构的时滞捕食系统稳定性分析 |
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| 引用本文： | 毕殿杰,孙玉涛,陈涛.一类具有阶段结构的时滞捕食系统稳定性分析[J].河北职业技术师范学院学报,2014(1):21-25. |
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| 作者姓名： | 毕殿杰 孙玉涛 陈涛 |
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| 作者单位： | 安徽财经大学管理科学与工程学院,安徽蚌埠233030 |
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| 基金项目： | 2013年安徽省教育厅自然科学重点项目（项目编号：KJ2013A001）;2014年度安徽财经大学校级科研项目（项目编号：ACKY1433）;2013年安徽财经大学校级重点科研项目（项目编号：ACKY1305ZDB）. |
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| 摘 要： | 研究一类捕食者具有阶段结构和Crowley-Martin功能性反应的时滞捕食系统.通过分析特征方程根的分布,得到系统正平衡点的局部稳定性和局部Hopf分支的存在性的充分条件.最后,利用仿真实例证明了理论分析结果的正确性.
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| 关 键 词： | 捕食系统 稳定性 Hopf分支 时滞 |
Stability of a Delayed Predator-prey System With Stage Structure for the Predator |
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| BI Dian-jie,SUN Yu-tao,CHEN Tao.Stability of a Delayed Predator-prey System With Stage Structure for the Predator[J].Journal of Hebei Vocation-Technical Teachers College,2014(1):21-25. |
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| Authors: | BI Dian-jie SUN Yu-tao CHEN Tao |
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| Institution: | (School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu Anhui ,233030, China) |
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| Abstract: | In A delayed and stage-structured predator-prey system with Crowley-Martin functional response is analyzed. By analyzing the distribution of the roots of the associated characteristic equation, sufficient conditions for the local asymptotic stability of the positive equilibrium and the existence of the local Hopf bifurcation are obtained. Finally, a numerical example is presented to support the theoretical results. |
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| Keywords: | predator-prey system stability Hopf bifurcation delay |
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