Stability of traveling waves in non-cooperative models with discrete diffusion
學年 114
學期 2
出版（發表）日期 2026-06-09
作品名稱 Stability of traveling waves in non-cooperative models with discrete diffusion
作品名稱（其他語言）
著者 Arnaud Ducrot; Jong-Shenq Guo; Ken-Ichi Nakamura; Masahiko Shimojo
單位
出版者
著錄名稱、卷期、頁數 Partial Differential Equations and Applications 7,30
摘要 In this paper, we investigate the stability of traveling waves in non-cooperative reaction–diffusion systems with discrete diffusion, where the classical comparison principle does not apply. We employ a Lyapunov-type relative entropy functional, inspired by the entropy method for ordinary differential equations, to discuss the stability of traveling waves without relying on spectral techniques for the linearized operator. Using this approach, we establish sufficient conditions for the convergence of solutions to traveling waves under certain perturbations of a class of initial data, in both equal and unequal diffusivity cases. We further provide a few specific biological models, including predator–prey dynamics and epidemic transmission models, to illustrate the application of our theorems.
關鍵字 Stability; Traveling wave; Discrete diffusion; Non-cooperative model
語言 en_US
ISSN 2662-2971; 2662-2963
期刊性質 國外
收錄於 ESCI
產學合作
通訊作者
審稿制度 是
國別 CHE
公開徵稿
出版型式 ,電子版,紙本
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