TY - JOUR
T1 - Traveling Wave of Three-Species Stochastic Lotka-Volterra Competitive System
AU - Wen , Hao
AU - Huang , Jianhua
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 32
EP - 55
PY - 2024
DA - 2024/03
SN - 6
DO - http://doi.org/10.12150/jnma.2024.32
UR - https://global-sci.org/intro/article_detail/jnma/22965.html
KW - Stochastic competitive system, white noise, traveling wave solution, asymptotic wave speed.
AB - <p style="text-align: justify;">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.</p>