| 带有食饵趋向和非单调反应函数捕食模型的稳定性及Hopf分支 |
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| 引用本文： | 李成林.带有食饵趋向和非单调反应函数捕食模型的稳定性及Hopf分支[J].吉林林学院学报,2011(5):505-510. |
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| 作者姓名： | 李成林 |
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| 作者单位： | [1]西南大学数学与统计学院,重庆400715 [2]保山学院数学学院,云南保山678000 |
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| 基金项目： | 教育部自然科学基金资助项目（20100182110003） |
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| 摘 要： | 探讨了一类在齐次留曼边界条件下带有捕食趋向和非单调反应函数捕食模型的稳定性及Hopf分支.证明了在一定条件下当食饵趋向系数充分小时正常数解是全局渐近稳定的,但局部稳定性及其他常数解全局稳定性与食饵趋向系数无关,并证明了该模型有周期解分支.
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| 关 键 词： | 食饵趋向 稳定 Hopf分支 |
Stability and Hopf Bifurcation for a Predator-prey Model with Prey-taxis and Non-monotonic Functional Response |
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| Authors: | LI Cheng-lin |
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| Institution: | LI Cheng-lin,(1.School of Mathematics and Statistics,Southwest University,Chongqing 400715,China; 2.Mathematics School of Baoshan college,Baoshan 678000,China) |
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| Abstract: | A predator-prey model with prey-taxis incorporating non-monotonic functional response under homogeneous Neumann boundary condition is concerned.The stability and Hopf bifurcation of positive equilibrium points are investigated.The global stability of the positive constant solution is relative to prey-tactic sensitivity coefficient which leads to keep back the global stability,but for the local stability and the global stability of other constant solution,prey-tactic sensitivity coefficient doesn＇t influence on it,and above system has also the periodic bifurcation. |
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| Keywords: | prey-taxis stability Hopf bifurcation |
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