A consistent SIR model on time scales with exact solution
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908648738914304 |
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| author | Lemos-Silva, Márcia Vaz, Sandra Torres, Delfim F. M. |
| author_facet | Lemos-Silva, Márcia Vaz, Sandra Torres, Delfim F. M. |
| contents | We propose a new dynamic SIR model that, in contrast with the available model on time scales, is biological relevant. For the new SIR model we obtain an explicit solution, we prove the asymptotic stability of the extinction and disease-free equilibria, and deduce some necessary conditions for the monotonic behavior of the infected population. The new results are illustrated with several examples in the discrete, continuous, and quantum settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22675 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A consistent SIR model on time scales with exact solution Lemos-Silva, Márcia Vaz, Sandra Torres, Delfim F. M. Physics and Society Dynamical Systems Populations and Evolution 34N05, 92D30 We propose a new dynamic SIR model that, in contrast with the available model on time scales, is biological relevant. For the new SIR model we obtain an explicit solution, we prove the asymptotic stability of the extinction and disease-free equilibria, and deduce some necessary conditions for the monotonic behavior of the infected population. The new results are illustrated with several examples in the discrete, continuous, and quantum settings. |
| title | A consistent SIR model on time scales with exact solution |
| topic | Physics and Society Dynamical Systems Populations and Evolution 34N05, 92D30 |
| url | https://arxiv.org/abs/2509.22675 |