An Exact SIR Series Solution and an Exploration of the Related Parameter Space
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909591211606016 |
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| author | Hobbs, Daniel P |
| author_facet | Hobbs, Daniel P |
| contents | A convergent power series solution is obtained for the SIR model, using an asymptotically motivated gauge function. For certain choices of model parameter values, the series converges over the full physical domain (i.e., for all positive time). Furthermore, the radius of convergence as a function of nondimensionalized initial susceptible and infected populations is obtained via a numerical root test. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17026 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Exact SIR Series Solution and an Exploration of the Related Parameter Space Hobbs, Daniel P Dynamical Systems Mathematical Physics A convergent power series solution is obtained for the SIR model, using an asymptotically motivated gauge function. For certain choices of model parameter values, the series converges over the full physical domain (i.e., for all positive time). Furthermore, the radius of convergence as a function of nondimensionalized initial susceptible and infected populations is obtained via a numerical root test. |
| title | An Exact SIR Series Solution and an Exploration of the Related Parameter Space |
| topic | Dynamical Systems Mathematical Physics |
| url | https://arxiv.org/abs/2504.17026 |