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

Date

2022-04-20

Authors

Li, Shangzhi
Guo, Shangjiang

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Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Predator-prey model, Lyapunov exponent, Permanence, Extinction

Citation

Li, S., & Guo, S. (2022). Dynamics of stochastic Lotka-Volterra predator-prey models driven by three independent Brownian motions. <i>Electronic Journal of Differential Equations, 2022</i>(32), pp. 1-28.

Rights

Attribution 4.0 International

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