Dynamics of stochastic Lotka-Volterra predator-prey models driven by three independent Brownian motions
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Date
2022-04-20
Authors
Li, Shangzhi
Guo, Shangjiang
Journal Title
Journal ISSN
Volume Title
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. Electronic Journal of Differential Equations, 2022(32), pp. 1-28.
Rights
Attribution 4.0 International