Identifiability of the spatial SEIR-HCD model of COVID-19 propagation
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916543302991872 |
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| author | Krivorotko, Olga Zvonareva, Tatiana Neverov, Andrei |
| author_facet | Krivorotko, Olga Zvonareva, Tatiana Neverov, Andrei |
| contents | This paper investigates the identifiability of a spatial mathematical model of the spread of fast-moving epidemics based on the law of acting masses and diffusion processes. The research algorithm is based on global methods of Sobol sensitivity analysis and Bayesian approach, which together allowed to reduce the variation boundaries of unknown parameters for further solving the problem of parameter identification by measurements of the number of detected cases, critical and dead. It is shown that for identification of diffusion coefficients responsible for the rate of movement of individuals in space, it is necessary to use additional information about the process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18858 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Identifiability of the spatial SEIR-HCD model of COVID-19 propagation Krivorotko, Olga Zvonareva, Tatiana Neverov, Andrei Optimization and Control Physics and Society Populations and Evolution 35R30, 65N21 This paper investigates the identifiability of a spatial mathematical model of the spread of fast-moving epidemics based on the law of acting masses and diffusion processes. The research algorithm is based on global methods of Sobol sensitivity analysis and Bayesian approach, which together allowed to reduce the variation boundaries of unknown parameters for further solving the problem of parameter identification by measurements of the number of detected cases, critical and dead. It is shown that for identification of diffusion coefficients responsible for the rate of movement of individuals in space, it is necessary to use additional information about the process. |
| title | Identifiability of the spatial SEIR-HCD model of COVID-19 propagation |
| topic | Optimization and Control Physics and Society Populations and Evolution 35R30, 65N21 |
| url | https://arxiv.org/abs/2412.18858 |