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Stability of a three-species stochastic delay predator–prey system with Lévy noise

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  • Wu, Jian

Abstract

This work is concerned with a three-species stochastic delay prey–mesopredator–superpredator system with Lévy noise. We will characterize the complete dynamic scenarios of stability in distribution of solution (SDS) by three parameters κ1,κ2,κ3 which depend on the interaction and Lévy noise.

Suggested Citation

  • Wu, Jian, 2018. "Stability of a three-species stochastic delay predator–prey system with Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 492-505.
    • Handle: RePEc:eee:phsmap:v:502:y:2018:i:c:p:492-505
    DOI: 10.1016/j.physa.2018.02.145
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    References listed on IDEAS

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    1. Peng, Shige & Zhu, Xuehong, 2006. "Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 116(3), pages 370-380, March.
    2. 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.
    3. 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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    2. Yuxiao Zhao & Linshan Wang, 2022. "Practical Exponential Stability of Impulsive Stochastic Food Chain System with Time-Varying Delays," Mathematics, MDPI, vol. 11(1), pages 1-12, December.
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