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The effect of Levy noise on the survival of a stochastic competitive model in an impulsive polluted environment

机译：Levy噪声对脉冲污染环境下随机竞争模型生存的影响

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摘要

Levy noise, accounting for sudden catastrophic shocks, exists widely in the natural world. However, the effect of Levy noise on the survival of a population is not well understood. In this paper, we develop and investigate a stochastic competitive model of two species with Levy noise in an impulsive polluted environment. The threshold between weak persistence in the mean and extinction is established for each species. Sufficient conditions for strong persistence in the mean, stability in the mean and stochastic permanence are obtained. These results show that Levy noise can change the persistence and extinction of each species significantly. Numerical simulations is carried out to illustrate the theoretical results.
机译：在自然界中广泛存在着引起突发灾难性冲击的杂音。然而，征税对人口生存的影响尚不十分清楚。在本文中，我们开发和研究了在脉冲污染环境中具有Levy噪声的两个物种的随机竞争模型。为每个物种确定了均值和灭绝之间的弱持续性阈值。获得了足够强的均值持久性，均值稳定性和随机持久性的充分条件。这些结果表明，征税噪声可以显着改变每个物种的持久性和灭绝。进行了数值模拟以说明理论结果。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第18期|7583-7600|共18页
  • 作者

    Yu Zhao; Sanling Yuan; Qimin Zhang;

  • 作者单位

    Business School University of Shanghai for Science and Technology, Shanghai 200093, China ,School of Mathematics and Computer Science, Ningxia Normal University, Ningxia, Guyuan 756000, China;

    College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;

    School of Mathematics and Computer, Ningxia University, Ningxia, Yinchuan 750021, 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

    Competitive model; Impulsive polluted environment; Levy noise; Persistence; Extinction;

    机译：竞争模式脉冲污染环境;杂音;坚持不懈灭绝;

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