具有随机干扰的单种群间歇扩散模型

年巧玲; 张龙; 李宝雄

doi:10.13568/j.cnki.651094.2016.01.007

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具有随机干扰的单种群间歇扩散模型

更新时间：2026-01-21

- 具有随机干扰的单种群间歇扩散模型
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 33, Issue 1, Pages: 42-48(2016)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.2016.01.007
  CLC： O175
- Published：2016
- 稿件说明：
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[1]年巧玲,张龙,李宝雄.具有随机干扰的单种群间歇扩散模型[J].新疆大学学报(自然科学版),2016,33(01):42-48.
[1]年巧玲,张龙,李宝雄.具有随机干扰的单种群间歇扩散模型[J].新疆大学学报(自然科学版),2016,33(01):42-48. DOI： 10.13568/j.cnki.651094.2016.01.007.

DOI：10.13568/j.cnki.651094.2016.01.007.

摘要

一类具有白噪声干扰的单种群间歇扩散模型被建立.通过构造合适的Lyapunov函数

全局正解的存在唯一性

随机最终有界性被得到.

Abstract

A single-species intermittent dispersal model with stochastic perturbations between two patches is proposed and studied in the paper.By constructing appreciate Lyapunov functions

some conditions on the global existence and uniqueness of a positive solution

stochastically ultimate boundedness are established.

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references

Levin S.Dispersal and population interactions A[J].Nature,1974,108:207-228.

Beretta E,Takeuchi Y.Global stability of single-species diffusion Volterra models with continuous time delays[J].Bull Math Biol,1987,49(4):431-448.

Beretta E,Takeuchi Y.Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delay[J].SIAM J Appl Math,1988,48(3):627-651.

Zhang L,Teng Z,DeAngelis D,et al.Single species models with logistic growth and dissymmetric impulse dispersal[J].Math Biosci,2013,241:188-197.

Jiao J,Chen L,Cai S,et al.Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches[J].Nonlinear Anal RWA,2011,11:2748-2756.

Liu M,Bai C.A remark on stochastic logistic model with diffusion[J].Appl Math Comput,2014,228:141-146.

Liu Z,Zhong S,Teng Z.n Species impulsive migration model with Markovian switching[J].J Theor Biol,2012,307:62-69.

Lv J,Wang K.Almost sure permanence of stochastic single species models[J].J Math Appl,2015,422:675-683.

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