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Long term behaviors of stochastic single-species growth models in a polluted environment II

机译:污染环境下随机单物种生长模型的长期行为II

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摘要

This is a continuation of our paper [M. Liu, K. Wang, X. Liu. Long term behaviors of stochastic single-species growth models in a polluted environment. Appl Math Model 2011 ;35:752-62]. This work still devotes to studying three stochastic single-species models in a polluted environment. For the first system, sufficient criteria for extinction, stochastic non-persistence in the mean, stochastic weak persistence in the mean, stochastic strong persistence in the mean and stochastic permanence of the population are established. The threshold between stochastic weak persistence in the mean and extinction is obtained. For the second model, sufficient conditions for extinction, stochastic non-persistence in the mean, stochastic weak persistence, stochastic weak persistence in the mean, stochastic strong persistence in the mean and stochastic permanence are established. The threshold between stochastic weak persistence and extinction is derived. For the third system, the threshold between stochastic weak persistence and extinction is obtained.
机译:这是我们论文的延续[M.刘K.王X.刘污染环境中随机单物种生长模型的长期行为。 Appl Math Model 2011; 35:752-62]。这项工作仍致力于研究在污染环境中的三种随机单物种模型。对于第一个系统,建立了足够的灭绝标准,均值的随机非持久性,均值的随机弱持久性,均值的随机强持久性和种群的随机持久性。获得了随机的平均弱持续性和消亡之间的阈值。对于第二种模型,建立了足够的灭绝条件,均值随机非持久性,均值随机弱持久性,均值随机弱持久性,均值随机强持久性和随机持久性。推导了随机持久性和消亡之间的阈值。对于第三种系统,获得了随机弱持续性和消灭之间的阈值。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2011年第9期|p.4438-4448|共11页
  • 作者

    Meng Liu; Ke Wang; Yang Wang;

  • 作者单位

    Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China;

    Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China,School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, PR China;

    Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    pollution; white noise; persistence; extinction;

    机译:污染;白噪声坚持不懈灭绝;

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