Traveling waves for SIR model on two-dimensional lattice
Dynamical Systems
2026-02-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2602.16172,
title = {Traveling waves for SIR model on two-dimensional lattice},
author = {Ran Zhang and Shunchang Su and Xue Ren},
journal= {arXiv preprint arXiv:2602.16172},
year = {2026}
}