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Bibliographic Details
Main Authors: Zhang, Ran, Su, Shunchang, Ren, Xue
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.16172
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Table of Contents:
  • In this study, we investigate the existence of traveling wave solutions for a SIR model on two-dimensional lattice. The existence of traveling waves is established within the framework of upper and lower solutions and the Schauder fixed-point theorem. Moreover, we construct a Lyapunov functional to analyze the asymptotic behavior of the traveling wave solutions. This is a challenging task due to the two-dimensional lattice structure.