| 具有三时滞Lotka-Volterra互惠系统的Hopf分支 |
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| 引用本文： | 张凤琴,张雅婧.具有三时滞Lotka-Volterra互惠系统的Hopf分支[J].生物数学学报,2011(2):223-233. |
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| 作者姓名： | 张凤琴 张雅婧 |
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| 作者单位： | 运城学院; |
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| 基金项目： | supported by the National Sciences Foundation of China(1 1071283); the Sciences Foundation of Shanxi(2009011005-3); the Major Subject Foundation of Shanxi |
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| 摘 要： | 建立了具有三个时滞的Lotka-Volterra互惠系统；获得了正平衡点和Hopf分支存在的条件等；并对所获得的结果进行了数值模拟．
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| 关 键 词： | 互惠系统 时滞 Hopf分支 稳定性 |
Hopf Bifurcation for Lotka-Volterra Mutualist Systems with Three Delays |
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| ZHANG Feng-qin ZHANG Ya-jing.Hopf Bifurcation for Lotka-Volterra Mutualist Systems with Three Delays[J].Journal of Biomathematics,2011(2):223-233. |
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| Authors: | ZHANG Feng-qin ZHANG Ya-jing |
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| Institution: | ZHANG Feng-qin ZHANG Ya-jing (Department of Mathematics,Yuncheng University,Yuncheng Shanxi 044000 China) |
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| Abstract: | A Lotka-Volterra cooperative model with three delays is introduced. By analyzing the distribution of the roots of the characteristic equation,we get the conditions of the positive equilibrium and the existence of Hopf bifurcations.Further, the explicit formulas which point out the stability and the direction of periodic solutions bifurcating from Hopf bifurcations are obtained by using the the normal theory and center manifold argument.Finally,numerical simulations are given to illustrate the mathematical r... |
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| Keywords: | Mutualist system Delay Hopf bifurcation Stability |
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