Electron. J. Differential Equations, Vol. 2022 (2022), No. 32, pp. 1-28.

Dynamics of stochastic Lotka-Volterra predator-prey models driven by three independent Brownian motions

Shangzhi Li, Shangjiang Guo

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. DOI: https://doi.org/10.58997/ejde.2022.32

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Shangzhi Li
Center for Mathematical Sciences
China University of Geosciences
Wuhan, Hubei 430074, China
email: lishangzhi@cug.edu.cn
Shangjiang Guo
School of Mathematics and Physics
China University of Geosciences
Wuhan, Hubei 430074, China
email: guosj@cug.edu.cn

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