| Lotka-Volterra模型全局指数稳定性和相应方程解的分岔 |
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| 引用本文： | 陈宁. Lotka-Volterra模型全局指数稳定性和相应方程解的分岔[J]. 数学的实践与认识, 2007, 37(20): 162-166 |
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| 作者姓名： | 陈宁 |
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| 作者单位： | 西南科技大学,理学院,四川,绵阳,621010 |
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| 摘 要： | 研究具有变系数的时滞Lottka-Volterra模型,证明该模型在适当的条件下存在正的平衡解,并给出了正平衡解指数稳定的充分条件,进一步讨论了模型(1)的相对退化形式的解产生Hopf分岔现象.
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| 关 键 词： | Lotka-Volterra模型 指数稳定 Hopf分岔 |
| 修稿时间： | 2007-04-03 |
Exponential Stability of Lotka-Volterra Model and Bifurcation of Periodic Solution with Finite Delay |
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| CHEN Ning. Exponential Stability of Lotka-Volterra Model and Bifurcation of Periodic Solution with Finite Delay[J]. Mathematics in Practice and Theory, 2007, 37(20): 162-166 |
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| Authors: | CHEN Ning |
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| Abstract: | The authors studied the exponential stability of Lotka-Volterra model with delay to obtained the sufficient conditions for the existence and exponential stability of equilibrium,and that some conditions under which the Hopf bifurcation phenomenon occurs to the solutions of equation(1). |
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| Keywords: | Lotka-Volterra Model exponential stability Hopf bifurcation |
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