Open AccessPropagation of stochastic travelling waves of cooperative systems with noise
Author(s) -
Hao Wen,
Jianhua Huang,
Yuhong Li
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021295
Subject(s) - traveling wave , white noise , multiplicative noise , noise (video) , wavefront , multiplicative function , stochastic resonance , mathematics , physics , statistical physics , mathematical analysis , mathematical physics , computer science , optics , telecommunications , statistics , artificial intelligence , signal transfer function , transmission (telecommunications) , analog signal , image (mathematics)
We consider the cooperative system driven by a multiplicative It\^o type white noise. The existence and their approximations of the travelling wave solutions are proven. With a moderately strong noise, the travelling wave solutions are constricted by choosing a suitable marker of wavefront. Moreover, the stochastic Feynman-Kac formula, sup-solution, sub-solution and equilibrium points of the dynamical system corresponding to the stochastic cooperative system are utilized to estimate the asymptotic wave speed, which is closely related to the white noise.