纺织高校基础科学学报2017，Vol.30Issue(2)：214-219,6.DOI:10.13338/j.issn.1006-8341.2017.02.009
一类具有庇护效应的随机捕食系统的稳定性
Stability of a stochastic predator-prey systemwith prey refuge
摘要
Abstract
The stochastic predator-prey system incorporating a prey refuge and Holling Ⅱ functional response is investigated.Using It formula and Lyapunov function to show that there is a unique global positive solution to the stochastic system.And the positive solution to the stochastic system is stochastically ultimately bounded by using Chebyshev inequality.The sufficient conditions of global stochastically asymptotic stability of the positive solution to the stochastic system is derived through the stochastically stability theory.关键词
随机扰动/It公式/随机最终有界/全局随机渐近稳定性Key words
stochastic perturbation/It formula/stochastically ultimately bounded/global stochastically asymptotic stability分类
数理科学引用本文复制引用
刘志毅,郑唯唯,朱晓璐..一类具有庇护效应的随机捕食系统的稳定性[J].纺织高校基础科学学报,2017,30(2):214-219,6.基金项目
国家自然科学基金青年科学基金资助项目(11501434) （11501434）
