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

Miaomiao Gao, Daqing Jiang, Tasawar Hayat and Ahmed Alsaedi

Physica A: Statistical Mechanics and its Applications, 2019, vol. 523, issue C, 191-203

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.

Keywords: Stochastic food chain chemostat model; Lévy jumps; Extinction; Persistence in the mean; Threshold value (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:523:y:2019:i:c:p:191-203

DOI: 10.1016/j.physa.2019.02.029

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