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Threshold behavior of a stochastic Lotka–Volterra food chain chemostat model with jumps

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  • Gao, Miaomiao
  • Jiang, Daqing
  • Hayat, Tasawar
  • Alsaedi, Ahmed

Abstract

Taking lévy jumps into account, a Lotka–Volterra food chain chemostat model in random environment is proposed and investigated. We first prove the existence and uniqueness of the global positive solution. Then conditions for extinction of the microorganisms are derived in two cases. Furthermore, we establish sufficient conditions for persistence in the mean of the system. Theoretical analysis indicates that the dynamics of the considered model are determined by two threshold parameters R0s and R1s, and both white noise and lévy noise are disadvantageous to the system. Finally, numerical simulations are given to illustrate the results.

Suggested Citation

  • Gao, Miaomiao & Jiang, Daqing & Hayat, Tasawar & Alsaedi, Ahmed, 2019. "Threshold behavior of a stochastic Lotka–Volterra food chain chemostat model with jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 191-203.
    • Handle: RePEc:eee:phsmap:v:523:y:2019:i:c:p:191-203
    DOI: 10.1016/j.physa.2019.02.029
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