郑州大学学报（理学版）2016，Vol.48Issue(3)：1-9,9.DOI:10.13705/j.issn.1671-6841.2016035
一类具有随机项的三物种捕食-被捕食模型
A Delayed Three Species Food Chain Predator-prey Model with Stochastic Perturbatiion
摘要
Abstract
The environment of white noise and Beddington-DeAngelis type functional response function was combined with the containing modified Leslie-Cower types of population system. The a modified Les-lie-Gower type three species food chain model with stochastic perturbation. It was mainly used for model-ing of three trophic food chain. Firstly, for the arbitrarily positive initial conditions, there was a unique positive global solution which was based on the stochastic comparison theorem of differential equation. Then , by using the stochastic comparison theorem of differential equation and differential mean value the-orem, the result showed that the three species with Leslie-Gower type function were random strong aver-age persistence under certain conditions. And when white noise exceeded a certain range, the three spe-cies would perish.关键词
Leslie-Cower型功能/Beddington-DeAngelis型功能/随机比较方程/高斯白噪声Key words
Leslie-Cower type function/Beddington-DeAngelis type function/stochastic comparison e-quation/Gauss white noise分类
数理科学引用本文复制引用
聂文静,王辉,胡志兴,廖福成..一类具有随机项的三物种捕食-被捕食模型[J].郑州大学学报（理学版）,2016,48(3):1-9,9.基金项目
国家自然科学基金资助项目(11471034,61174209) （11471034,61174209）
北京科技大学冶金工程研究院基础研究基金项目(YJ2012-001) （YJ2012-001）
