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Analysis of stochastic two-prey one-predator model with Lévy jumps

Author

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  • Liu, Meng
  • Bai, Chuanzhi
  • Deng, Meiling
  • Du, Bo

Abstract

Taking white noises and Lévy noises into account, a two-prey one-predator model in random environments is proposed and investigated. Under some simple assumptions, the critical value between persistence in the mean and extinction for each population is obtained. Then sufficient conditions for stability in distribution of the model are established. Finally, some numerical examples are introduced to validate the analytical findings.

Suggested Citation

  • Liu, Meng & Bai, Chuanzhi & Deng, Meiling & Du, Bo, 2016. "Analysis of stochastic two-prey one-predator model with Lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 176-188.
    • Handle: RePEc:eee:phsmap:v:445:y:2016:i:c:p:176-188
    DOI: 10.1016/j.physa.2015.10.066
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    References listed on IDEAS

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    1. Liu, Qun & Chen, Qingmei, 2015. "Dynamics of stochastic delay Lotka–Volterra systems with impulsive toxicant input and Lévy noise in polluted environments," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 52-67.
    2. Zhang, Xinhong & Li, Wenxue & Liu, Meng & Wang, Ke, 2015. "Dynamics of a stochastic Holling II one-predator two-prey system with jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 571-582.
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    Cited by:

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    3. 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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