高维随机Gilpin-Ayala捕食系统的静态分布

Stationary distribution of the n-dimensional stochastic Gilpin-Ayala predator-prey system

介绍了高维随机非线性捕食系统即Gilpin-Ayala捕食系统的渐近动力学行为,主要是系统种群的静态分布的存在性.通过构造适当的李雅普诺夫函数,利用伊藤公式和随机微分的分析方法得到了随机系统静态分布存在性的充分性判据.最后用数据模拟来验证结果的正确性.

This paper discusses the asymptotic behaviors of the n - dimensional stochastic Gilpin - Ayala predator - A prey system. By using the Lyapunov functions, It O＇s formula and stochastic analysis, sufficient criteria are obtained which ensure the existence of a stationary distribution of the stochastic predator - prey system. Finally, nu- merical experiments are conducted to validate the theoretical findings.