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Ergodic property of a Lotka-Volterra predator-prey model with white noise higher order perturbation under regime switching
Journal article   Peer reviewed

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

Li Zu, Daqing Jiang, Donal O'Regan, Tasawar Hayat and Bashir Ahmad
Applied mathematics and computation, Vol.330, pp.93-102
01/08/2018
DOI: https://doi.org/10.1016/j.amc.2018.02.035

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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. (C) 2018 Elsevier Inc. All rights reserved.

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