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文章基本信息

  • 标题:Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response
  • 本地全文:下载
  • 作者:C. Gokila ; M. Sambath ; K. Balachandran
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2020
  • 卷号:2020
  • 页码:1-17
  • DOI:10.1155/2020/3632091
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    A stochastic predator-prey model with disease in the prey and Holling type II functional response is proposed and its dynamics is analyzed. We discuss the boundedness of the dynamical system and find all feasible equilibrium solutions. For the stochastic systems, we obtain the conditions for the existence of the global unique solution, boundedness, and uniform continuity. We derive the conditions for extinction and permanence of species. Moreover, we construct appropriate Lyapunov functions and discuss the asymptotic stability of equilibria. To illustrate our theoretical findings, we have performed numerical simulations and presented the results.

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