Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching

Considering the impacts of white noise, Holling-type II functional response, and regime switching, we formulate a stochastic predator-prey model in this paper. By constructing some suitable functionals, we establish the sufficient criteria of the stationary distribution and stochastic permanence. By numerical simulations, we illustrate the results and analyze the influence of regime switching on the dynamics.

Automated summary

In this paper, a stochastic predator-prey model incorporating white noise, Holling-type II functional response, and regime switching is formulated. By establishing suitable functionals, the criteria for stationary distribution and stochastic permanence are derived. Numerical simulations are used to illustrate the results and analyze the impact of regime switching on the dynamics.