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
云南民族大学学报:自然科学版,2016,25(3):240-245

刘帅 LS

摘要


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-prey system. By using the Lyapunov functions, ItO〖DD(-*2〗^〖〗〖DD)〗′s formula and stochastic analysis, sufficient criteria are obtained which ensure the existence of a stationary distribution of the stochastic predator-prey system. Finally, numerical experiments are conducted to validate the theoretical findings.

参考



全文: PDF      下载: 683      浏览: 118


counter for myspace
云南民族大学学报(自然科学版) 1991—2016 Copyright
地址:云南省昆明市一二.一大街134号 邮编:650031 全国邮发代号:64-47
电话:0871-65132114 传真:0871-65137493 Email:ynmzxyxb@163.com