On the Complete Dynamical Behavior for Three-Dimensional Stochastic Competitive Lotka-Volterra Syste

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：lcyR87777

【摘要】

：

　　We exploit the long-run behavior for 3-dimensional competitive Lotka-Volterra systems with the equal growth rate perturbed by the same multiplicative noise.

【作者】

：

JiangJifa;

【机构】

：

Shanghai Normal Univ.

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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　　We exploit the long-run behavior for 3-dimensional competitive Lotka-Volterra systems with the equal growth rate perturbed by the same multiplicative noise.Firstly,it is proved that the solutions of considered systems can be expressed in terms of the solutions of the noise-free system multiplied by appropriate solutions of the scalar logistic equation driven by the same kind noise.This decomposition helps us to classify the long-run behavior for considered systems.There are exactly 37 classes.

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On the Complete Dynamical Behavior for Three-Dimensional Stochastic Competitive Lotka-Volterra Syste

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