Final size and partial distance estimate for a two-group SEIRD model
In this paper we consider a SEIRD epidemic model for a population composed by two groups of individuals with asymmetric interaction. Given an approximate solution for the two-group model, we estimate the error of this approximation to the unknown solution to the second group based on the known error...
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| Published in: | Journal of mathematical biology Vol. 86; no. 4; p. 56 |
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| Format: | Journal Article |
| Language: | English |
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| Abstract | In this paper we consider a SEIRD epidemic model for a population composed by two groups of individuals with asymmetric interaction. Given an approximate solution for the two-group model, we estimate the error of this approximation to the unknown solution to the second group based on the known error that the approximation has with respect to the solution to the first group. We also study the final size of the epidemic for each group. We illustrate our results with the spread of the coronavirus disease 2019 (COVID-19) pandemic in the New York County (USA) for the initial stage of the contamination, and in the cities of Petrolina and Juazeiro (Brazil). |
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| AbstractList | In this paper we consider a SEIRD epidemic model for a population composed by two groups of individuals with asymmetric interaction. Given an approximate solution for the two-group model, we estimate the error of this approximation to the unknown solution to the second group based on the known error that the approximation has with respect to the solution to the first group. We also study the final size of the epidemic for each group. We illustrate our results with the spread of the coronavirus disease 2019 (COVID-19) pandemic in the New York County (USA) for the initial stage of the contamination, and in the cities of Petrolina and Juazeiro (Brazil). |
| ArticleNumber | 56 |
| Author | Santos, Matheus C. Melo, Alison M. V. D. L. |
| Author_xml | – sequence: 1 givenname: Alison M. V. D. L. surname: Melo fullname: Melo, Alison M. V. D. L. organization: Universidade Federal do Vale do São Francisco - UNIVASF – sequence: 2 givenname: Matheus C. orcidid: 0000-0001-9536-8518 surname: Santos fullname: Santos, Matheus C. email: matheus.santos@ufrgs.br organization: Departamento de Matemática Pura e Aplicada– IME, Universidade Federal do Rio Grande do Sul - UFRGS |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/36933033$$D View this record in MEDLINE/PubMed |
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| Cites_doi | 10.1137/16M1065392 10.1038/s41467-020-18050-2 10.1056/NEJMc2001468 10.1023/A:1001776926167 10.1093/jtm/taaa128 10.1016/j.mcm.2010.02.041 10.1016/j.ijid.2020.02.058 10.3390/biology9030050 10.1073/pnas.2004978117 10.7326/M20-0504 10.18637/jss.v040.i06 10.18637/jss.v033.i09 10.1038/s41421-020-0148-0 10.1038/s41598-020-78084-w 10.1016/j.epidem.2021.100459 10.1016/j.pulmoe.2020.05.015 10.1007/s11538-010-9623-3 10.1007/978-1-4614-1686-9 10.23943/princeton/9780691155395.001.0001 10.1007/978-1-4899-7612-3 10.1515/9781400841035 |
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| Keywords | Distance of solutions 92D30 Final size 92D25 Latency period Epidemic mathematical model 34C60 |
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| License | 2023. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
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| Snippet | In this paper we consider a SEIRD epidemic model for a population composed by two groups of individuals with asymmetric interaction. Given an approximate... |
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| SubjectTerms | Applications of Mathematics Approximation Brazil - epidemiology Cities Contamination Coronaviruses COVID-19 COVID-19 - epidemiology Disease transmission Epidemic models Epidemics Humans Infections Mathematical analysis Mathematical and Computational Biology Mathematical models Mathematics Mathematics and Statistics Pandemics Respiratory syncytial virus Viral diseases |
| Title | Final size and partial distance estimate for a two-group SEIRD model |
| URI | https://link.springer.com/article/10.1007/s00285-023-01892-x https://www.ncbi.nlm.nih.gov/pubmed/36933033 https://www.proquest.com/docview/2787979039 https://search.proquest.com/docview/2788798664 https://pubmed.ncbi.nlm.nih.gov/PMC10024309 |
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