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arXiv · 2602.16172

Traveling waves for SIR model on two-dimensional lattice

Ran Zhang·Shunchang Su·Xue Ren
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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.

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Ran Zhang, Shunchang Su, Xue Ren. 2026-02-18. Traveling waves for SIR model on two-dimensional lattice. https://arxiv.org/abs/2602.16172

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