随机竞争Lotka-Volterra模型的共存与排斥
概率论
2016-11-24 v2 动力系统
摘要
本工作推导了随机竞争Lotka-Volterra模型共存与排斥的充分条件。所得条件接近必要条件。此外，还建立了模型正解的分布收敛性。给出了若干数值例子以说明我们的结果。
引用
@article{arxiv.1601.06334,
title = {Coexistence and Exclusion of Stochastic Competitive Lotka-Volterra Models},
author = {Dang Hai Nguyen and George Yin},
journal= {arXiv preprint arXiv:1601.06334},
year = {2016}
}
备注
There is a typo in the definition of the set D in the Proof of Proposition 3.2 in the version of this paper published in Journal of Differential Equations. This version corrects that typo (L-11 P13)