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具有毒素脉冲输入和干扰的非自治随机模型

王玲玉 张树文

集美大学学报(自然科学版)Issue(4):297-304,8.
集美大学学报(自然科学版)Issue(4):297-304,8.

具有毒素脉冲输入和干扰的非自治随机模型

A Research of Nonautonomous Stochastic Population Model with Pulse Input of Environment Toxin and Random Perturbation

王玲玉 1张树文1

作者信息

  • 1. 集美大学理学院,福建 厦门361021
  • 折叠

摘要

Abstract

A nonautonomous stochastic population model with pulse input of environment toxin and ran-dom perturbation was proposed. By constructing comparison systems and utilizing comparison theorem of dif-ferential equation, the boundedness of expectation and global attractivity of the system were proved. The suf-ficient condition of non-persistence in the mean and persistence in the mean were established. Furthermore, some dynamic behaviors of the system were investigated.

关键词

脉冲效应/随机干扰/单种群模型/平均持续生存

Key words

impulsive effect/random perturbation/single population model/persistence in the mean

分类

数理科学

引用本文复制引用

王玲玉,张树文..具有毒素脉冲输入和干扰的非自治随机模型[J].集美大学学报(自然科学版),2015,(4):297-304,8.

基金项目

国家自然科学基金资助项目(31272653,11201216) (31272653,11201216)

集美大学学报(自然科学版)

1007-7405

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