Analysis of autonomous Lotka–Volterra competition systems with random perturbation
Analysis of autonomous Lotka–Volterra competition systems with random perturbation
复制标题
DOI：
10.1016/j.jmaa.2011.12.049
复制
发表时间：
2012-06
影响因子：
1.3
通讯作者：
D. Jiang;Chunyan Ji;Xiaoyue Li;Donal OʼRegan
中科院分区：
文献类型：
--
作者：
D. Jiang;Chunyan Ji;Xiaoyue Li;Donal OʼRegan
本文讨论了一类随机n种群Lotka-Volterra竞争系统.我们证明了在一定的条件下，该系统是稳定的时间平均。此外，如果满足额外的条件，则存在该系统的平稳分布。并给出了该系统的灭绝条件。最后，进行了数值模拟，以支持我们的结果。
This paper discusses a randomized n-species Lotka–Volterra competition system. We show that this system is stable in time average under certain conditions. Furthermore, there is a stationary distribution of this system, if extra conditions are satisfied. Also we give the extinction condition of this system. Finally, numerical simulations are carried out to support our results.