Traveling Wave of Three-Species Stochastic Lotka-Volterra Competitive System

Year:    2024

Author:    Hao Wen, Jianhua Huang

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 32–55

Abstract

This paper is devoted to a three-species stochastic competitive system with multiplicative noise. The existence of stochastic traveling wave solution can be obtained by constructing sup/sub-solution and using random dynamical system theory. Furthermore, under a more restrict assumption on the coefficients and by applying Feynman-Kac formula, the upper/lower bounds of asymptotic wave speed can be achieved.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2024.32

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 32–55

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Stochastic competitive system white noise traveling wave solution asymptotic wave speed.

Author Details

Hao Wen

Jianhua Huang