Uniqueness and stability of forced waves for the Fisher-KPP equation in a shifting environment

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Title:	Uniqueness and stability of forced waves for the Fisher-KPP equation in a shifting environment
Authors:	Guo, Jong-Shenq;Guo, Karen;Shimojo, Masahiko
Date:	2024-10-31
Issue Date:	2025-03-20 09:21:34 (UTC+8)
Abstract:	In this paper, we investigate the existence, uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment without imposing the monotonicity condition on the shifting intrinsic growth term. First, the existence of forced waves for some range of shifting speeds is proved. Then we prove the uniqueness of saturation forced waves. Moreover, a new method is introduced to derive the non-existence of forced waves. Finally, we derive the stability of forced waves under certain perturbation of a class of initial data.
Relation:	Nonlinear Analysis 247，頁113607
DOI:	10.1016/j.na.2024.113607
Appears in Collections:	[Department of Applied Mathematics and Data Science] Journal Article

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