Stationary distribution of a stochastic predator–prey system with stage structure for prey

Xin Zhao and Zhijun Zeng

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: In this paper, a predator–prey model with stage structure is proposed and analyzed in which preys are divided into juvenile and mature preys from a deterministic framework to a stochastic one. We first prove that the system which we investigate has a unique global positive solution. Furthermore, we obtain the sufficient criteria for the existence of stationary distribution and ergodicity by constructing an appropriate Lyapunov function, which means the species are permanent. Finally, we give the sufficient conditions for extinction of preys.

Keywords: Stationary distribution; Stage structure; Stochastic predator–prey system (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119318588

DOI: 10.1016/j.physa.2019.123318

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