Stationary distribution of a stochastic predator–prey model with distributed delay and higher order perturbations

Zhongwei Cao, Wei Feng, Xiangdan Wen and Li Zu

Physica A: Statistical Mechanics and its Applications, 2019, vol. 521, issue C, 467-475

Abstract: In this paper, we study a stochastic predator–prey model with distributed delay and higher order perturbations. By the linear chain technique, we transform the stochastic system with weak kernel case into an equivalent degenerate system which contains three equations. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model.

Keywords: Stochastic predator–prey model; Distributed delay; Stationary distribution; Higher order perturbations (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:521:y:2019:i:c:p:467-475

DOI: 10.1016/j.physa.2019.01.058

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