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

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.