Open AccessUniqueness and stability of bistable waves for monotone semiflows
Author(s) -
Yuxiang Zhang,
Xiao-Qiang Zhao
Publication year - 2021
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/15506
Subject(s) - bistability , monotone polygon , uniqueness , mathematics , stability (learning theory) , convergence (economics) , mathematical analysis , computer science , geometry , physics , quantum mechanics , machine learning , economics , economic growth
This paper is devoted to the study of the uniqueness and stability of bistable traveling waves for monotone semiflows in an abstract setting. Under appropriate assumptions, we establish the uniqueness and stability of bistable waves for discrete and continuous-time semiflows in a continuous habitat by appealing to a global convergence theorem for monotone semiflows. We also extend such a result to time-periodic semiflows, and apply the general theory to a class of reaction-diffusion-advection systems in a cylinder.