PERSISTENCE AND NON-PERSISTENCE OF A MUTUALISM SYSTEM WITH STOCHASTIC PERTURBATION

Chunyan Ji; Daqing Jiang

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PERSISTENCE AND NON-PERSISTENCE OF A MUTUALISM SYSTEM WITH STOCHASTIC PERTURBATION

机译：具有随机扰动的多元系统的持久性和非持久性。

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摘要

In this paper, we consider a n-species Lotka-Volterra mutualism system with stochastic perturbation. Sufficient criteria for persistence in mean and stationary distribution of the system are established. Besides, we show the large white noise will make the system nonpersistent. Finally, we illustrate the dynamic behavior of the system with n = 3 and their approximations via a range of numerical experiments.

机译：在本文中，我们考虑具有随机扰动的n种Lotka-Volterra共生系统。建立了系统均值和平稳分布持久性的充分标准。此外，我们显示出大的白噪声将使系统不稳定。最后，我们通过一系列数值实验说明了n = 3时系统的动态行为及其近似值。

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来源
《Discrete and continuous dynamical systems》 |2012年第3期|p.867-889|共23页
作者
Chunyan Ji; Daqing Jiang;
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作者单位

School of Mathematics and Statistics, Northeast Normal University Changchun, Jilin, 130024, China School of Mathematics and Statistics, Changshu Institute of Technology Changshu, Jiangsu, 215500, China;

School of Mathematics and Statistics, Northeast Normal University Changchun, Jilin, 130024, China;

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正文语种 eng
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关键词
pth moment; persistent in mean; stationary distribution; ergodicity; nonpersistent;

机译：时刻持久的固定分布;遍历非持久;

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8. Large Scale Control and Distributed Computing Systems Under Stochastic Structural Perturbations. [R] . Ladde, G. S., Sathananthan, S. 1994

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PERSISTENCE AND NON-PERSISTENCE OF A MUTUALISM SYSTEM WITH STOCHASTIC PERTURBATION

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