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A Stochastic Predator-Prey System with Stage Structure for Predator

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  • Shufen Zhao
  • Minghui Song

Abstract

The authors introduce stochasticity into a predator-prey system with Beddington-DeAngelis functional response and stage structure for predator. We present the global existence and positivity of the solution and give sufficient conditions for the global stability in probability of the system. Numerical simulations are introduced to support the main theoretical results.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:518695
    DOI: 10.1155/2014/518695
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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).
    2. Jaouad Danane & Delfim F. M. Torres, 2023. "Three-Species Predator–Prey Stochastic Delayed Model Driven by Lévy Jumps and with Cooperation among Prey Species," Mathematics, MDPI, vol. 11(7), pages 1-22, March.

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