Dynamics of a stochastic predator–prey model with distributed delay and Markovian switching

Qun Liu, Daqing Jiang, Tasawar Hayat and Ahmed Alsaedi

Physica A: Statistical Mechanics and its Applications, 2019, vol. 527, issue C

Abstract: In this paper, we study a stochastic predator–prey model with distributed delay and Markovian switching. Firstly, we obtain sufficient criteria for weak persistence of the predator population. Then in the case of weak persistence, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model by constructing a suitable stochastic Lyapunov function with regime switching. Finally, we establish sufficient conditions for extinction of the predator population.

Keywords: Stochastic predator–prey model; Distributed delay; Weak persistence; Positive recurrence and extinction; Markovian switching (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307307

DOI: 10.1016/j.physa.2019.121264

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