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Exponential extinction of a stochastic predator–prey model with Allee effect

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  • Zhang, Beibei
  • Wang, Hangying
  • Lv, Guangying

Abstract

In this paper, we study a stochastic predator–prey model with Beddington–DeAngelis functional response and Allee effect, whose coefficients are dependent on expectations. We prove that there is a unique global positive solution to the system with the positive initial value. Moreover, sufficient conditions for exponential extinction are established.

Suggested Citation

  • Zhang, Beibei & Wang, Hangying & Lv, Guangying, 2018. "Exponential extinction of a stochastic predator–prey model with Allee effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 192-204.
    • Handle: RePEc:eee:phsmap:v:507:y:2018:i:c:p:192-204
    DOI: 10.1016/j.physa.2018.05.073
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    References listed on IDEAS

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    Cited by:

    1. Pimentel, Carlos Eduardo Hirth & Rodriguez, Pablo M. & Valencia, Leon A., 2020. "A note on a stage-specific predator–prey stochastic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).

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