Integrable discretizations of the SIR model
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917604002627584 |
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| author | Tanaka, Yuta Maruno, Ken-ichi |
| author_facet | Tanaka, Yuta Maruno, Ken-ichi |
| contents | Structure-preserving discretizations of the SIR model are presented by focusing on the hodograph transformation and the conditions for integrability for their discrete SIR models are given. For those integrable discrete SIR models, we derive their exact solutions as well as conserved quantities. If we choose the parameter appropriately for one of our proposed discrete SIR models, it conserves the conserved quantities of the SIR model. We also investigate an ultradiscretizable discrete SIR model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_08549 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Integrable discretizations of the SIR model Tanaka, Yuta Maruno, Ken-ichi Exactly Solvable and Integrable Systems Numerical Analysis Mathematical Physics Dynamical Systems Structure-preserving discretizations of the SIR model are presented by focusing on the hodograph transformation and the conditions for integrability for their discrete SIR models are given. For those integrable discrete SIR models, we derive their exact solutions as well as conserved quantities. If we choose the parameter appropriately for one of our proposed discrete SIR models, it conserves the conserved quantities of the SIR model. We also investigate an ultradiscretizable discrete SIR model. |
| title | Integrable discretizations of the SIR model |
| topic | Exactly Solvable and Integrable Systems Numerical Analysis Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2209.08549 |