Ergodic property of a Lotka–Volterra predator–prey model with white noise higher order perturbation under regime switching

Li Zu, Daqing Jiang, O’Regan, Donal, Tasawar Hayat and Bashir Ahmad

Applied Mathematics and Computation, 2018, vol. 330, issue C, 93-102

Abstract: In this paper, we investigate a classical Lotka–Volterra predator–prey model with telephone noise and a higher order perturbation of white noise. The existence of a unique positive solution is discussed and sufficient conditions for the existence of an ergodic stationary distribution is established. Some simulation figures are presented to illustrate the analytical findings.

Keywords: Ergodic property; Stationary distribution; Lotka–Volterra predator–prey model; Higher order perturbation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:330:y:2018:i:c:p:93-102

DOI: 10.1016/j.amc.2018.02.035

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