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污染环境下具脉冲效应的随机捕食-食饵模型
引用本文:姚娇娇,张树文.污染环境下具脉冲效应的随机捕食-食饵模型[J].集美大学学报(自然科学版),2013,18(5):368-372.
作者姓名:姚娇娇  张树文
作者单位:集美大学理学院,福建厦门,361021
基金项目:国家自然科学基金资助项目,福建省自然科学基金资助项目
摘    要:研究污染环境下具有脉冲效应和随机干扰的捕食-食饵模型,证明了该模型具有唯一的全局正解,进而得到了系统灭绝、非平均持久和弱平均持久的充分条件.

关 键 词:脉冲效应  随机扰动  捕食-食饵系统  有界性

A Stochastic Predator-prey System with Impulsive Effects in a Polluted Environment
YAO Jiao-jiao , ZHANG Shu-wen.A Stochastic Predator-prey System with Impulsive Effects in a Polluted Environment[J].the Editorial Board of Jimei University(Natural Science),2013,18(5):368-372.
Authors:YAO Jiao-jiao  ZHANG Shu-wen
Institution:(School of Science, Jimei University, Xiamen 361021, China)
Abstract:A model of a predator-prey system with impulsive effects and random perturbations was con- sidered in a polluted environment. The uniqueness of global and positive solution of the model was proved. Furthermore, the sufficient conditions for extinction, non-persistence in the mean, weak persistence in the mean of the system were obtained.
Keywords:impulsive effect  random perturbation  predator-prey system  boundedness
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