Persistence and non-persistence of a mutualism systemwith stochastic perturbation
Persistence and non-persistence of a mutualism systemwith stochastic perturbation
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DOI：
10.3934/dcds.2012.32.867
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发表时间：
2011-10
影响因子：
1.1
通讯作者：
Chunyan Ji;D. Jiang
中科院分区：
文献类型：
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作者：
Chunyan Ji;D. Jiang
本文考虑了具有随机扰动的$n$-种群Lotka-Volterra互惠系统.建立了系统在均值和平稳分布下持续生存的充分判据。此外，我们还证明了大的白色噪声会使系统非持续生存。最后，我们通过一系列的数值实验说明了系统的动力学行为与$n=3$和他们的近似。
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.