| 一类带时滞的Watt型功能性反应的捕食系统的Hopf分支 |
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| 引用本文： | 石雁,窦霁虹,张金龙.一类带时滞的Watt型功能性反应的捕食系统的Hopf分支[J].纯粹数学与应用数学,2010,26(5):798-803. |
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| 作者姓名： | 石雁 窦霁虹 张金龙 |
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| 作者单位： | 西北大学数学系,陕西,西安,710127;西北大学数学系,陕西,西安,710127;西北大学数学系,陕西,西安,710127 |
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| 基金项目： | 西北大学研究生自主创生项目 |
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| 摘 要： | 研究一类具有时滞的Watt型功能性反应的捕食模型,通过分析正平衡点处的特征方程,讨论了该系统正平衡点的稳定性.应用Hopf分支理论,得到了该系统产生Hopf分支的条件.
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| 关 键 词： | 捕食系统 Watt型 时滞 正平衡点 Hopf分支 |
Qualitative analysis of a Watt-type functional response predator-prey system with time delay |
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| SHI Yan,DOU Ji-hong,ZHANG Jin-long.Qualitative analysis of a Watt-type functional response predator-prey system with time delay[J].Pure and Applied Mathematics,2010,26(5):798-803. |
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| Authors: | SHI Yan DOU Ji-hong ZHANG Jin-long |
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| Institution: | (Department of Mathematics, Northwest University, Xi＇an 710127, China) |
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| Abstract: | A Watt-type functional response predator-prey system with time delay is studied. By analyzing the characteristic equation of the linearized system of original system at the positive equilibrium, the system＇s stability at the positive equilibrium are discussed. By applying the theorem of Hopf bifurcation, the existence of Hopf bifurcation of the system is obtained. |
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| Keywords: | predator-prey system Watt-type time delay positive equilibrium Hopf bifurcation |
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