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A note on a stage-specific predator–prey stochastic model

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  • Pimentel, Carlos Eduardo Hirth
  • Rodriguez, Pablo M.
  • Valencia, Leon A.

Abstract

In this work we analyze a modified version of a stage-specific structure in a predator prey model recently introduced in the literature. We assume that the predator death rate is subject to randomness and we discuss, through both a theoretical and a computational approach, about the influence of this assumption in the behavior of the process.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:553:y:2020:i:c:s0378437120302739
    DOI: 10.1016/j.physa.2020.124575
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    References listed on IDEAS

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    1. Liu, Qun & Jiang, Daqing & Hayat, Tasawar & Ahmad, Bashir, 2018. "Stationary distribution and extinction of a stochastic predator–prey model with additional food and nonlinear perturbation," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 226-239.
    2. 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.
    3. Xixi Wang & Huilin Huang & Yongli Cai & Weiming Wang, 2012. "The Complex Dynamics of a Stochastic Predator-Prey Model," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-24, September.
    4. Shufen Zhao & Minghui Song, 2014. "A Stochastic Predator-Prey System with Stage Structure for Predator," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, April.
    5. Li, Haihong & Cong, Fuzhong, 2019. "Dynamics of a stochastic Holling–Tanner predator–prey model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    Full references (including those not matched with items on IDEAS)

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    Keywords

    Predator–prey model; Stochastic process;

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