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Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps

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  • Liu, Qun
  • Jiang, Daqing
  • Hayat, Tasawar
  • Alsaedi, Ahmed

Abstract

In this paper, we investigate a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps. We present the analysis and the criteria of the asymptotic behavior for this perturbed model via Lyapunov functions. Our results show that both colored noise and Lévy noise have important effects on the survival and extinction of the species.

Suggested Citation

  • Liu, Qun & Jiang, Daqing & Hayat, Tasawar & Alsaedi, Ahmed, 2018. "Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 94-104.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:94-104
    DOI: 10.1016/j.physa.2018.03.070
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    References listed on IDEAS

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    1. Liu, Meng & Bai, Chuanzhi, 2015. "A remark on a stochastic logistic model with Lévy jumps," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 521-526.
    2. Zhang, Xinhong & Jiang, Daqing & Alsaedi, Ahmed & Hayat, Tasawar, 2016. "Periodic solutions and stationary distribution of mutualism models in random environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 270-282.
    3. Liu, Qun, 2015. "Analysis of a stochastic non-autonomous food-limited Lotka–Volterra cooperative model," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 1-8.
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    Cited by:

    1. Lu, Chun, 2021. "Dynamics of a stochastic Markovian switching predator–prey model with infinite memory and general Lévy jumps," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 316-332.

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