Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 32, pp. 1-28.

Title: Dynamics of stochastic Lotka-Volterra predator-prey models driven by three independent
Brownian motions
       
Author: Shangzhi Li    (China Univ. of Geosciences, Wuhan, Hubei, China)
        Shangjiang Guo (China Univ. of Geosciences, Wuhan, Hubei, China)

Abstract: 
This article concerns  the permanence and extinction of stochastic 
Lotka-Volterra predator-prey models perturbed by three independent 
white noises.
We establish some criteria and present some numerical simulations that
illustrate our theoretical results. It is shown that the presence of strong
noise on either the intra-specific interaction rate or the inter-specific 
interaction rate may lead to complete different dynamical behaviors 
from the deterministic case.

Submitted March 21, 2021. Published April 20, 2022.
Math Subject Classifications: 34C12, 60H10, 92D25.
Key Words: Predator-prey model; Lyapunov exponent; permanence; extinction.