A spatially varying differential equation for multi-patch pandemic propagation
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910808451055616 |
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| author | Ghosh, Abhimanyu |
| author_facet | Ghosh, Abhimanyu |
| contents | We develop an extension of the Susceptible-Infected-Recovery (SIR) model to account for spatial variations in population as well as infection and recovery parameters. The equations are derived by taking the continuum limit of discrete interacting patches, and results in a diffusion equation with some nonlinear terms. The resulting population dynamics can be reinterpreted as a nonlinear heat flow equation where the temperature vector captures both infected and recovered populations across multiple patches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00454 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A spatially varying differential equation for multi-patch pandemic propagation Ghosh, Abhimanyu Mesoscale and Nanoscale Physics Statistical Mechanics We develop an extension of the Susceptible-Infected-Recovery (SIR) model to account for spatial variations in population as well as infection and recovery parameters. The equations are derived by taking the continuum limit of discrete interacting patches, and results in a diffusion equation with some nonlinear terms. The resulting population dynamics can be reinterpreted as a nonlinear heat flow equation where the temperature vector captures both infected and recovered populations across multiple patches. |
| title | A spatially varying differential equation for multi-patch pandemic propagation |
| topic | Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2502.00454 |