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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.16172 |
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| _version_ | 1866914336323141632 |
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| author | Zhang, Ran Su, Shunchang Ren, Xue |
| author_facet | Zhang, Ran Su, Shunchang Ren, Xue |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16172 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Traveling waves for SIR model on two-dimensional lattice Zhang, Ran Su, Shunchang Ren, Xue Dynamical Systems 92D30 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. |
| title | Traveling waves for SIR model on two-dimensional lattice |
| topic | Dynamical Systems 92D30 |
| url | https://arxiv.org/abs/2602.16172 |