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Applications of Multi-Type Branching Processes
Two applications of multi-type branching processes to epidemic models are presented. The first application is to an SEIR epidemic model and the second application is to the same epidemic model but with dispersal. The SEIR epidemic is modeled as a two-type branching process. Occurrence of an outbreak...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
2015
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7124073/ http://dx.doi.org/10.1007/978-3-319-21554-9_3 |
| _version_ | 1783515776139919360 |
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| author | Allen, Linda J. S. |
| author_facet | Allen, Linda J. S. |
| author_sort | Allen, Linda J. S. |
| collection | PubMed |
| description | Two applications of multi-type branching processes to epidemic models are presented. The first application is to an SEIR epidemic model and the second application is to the same epidemic model but with dispersal. The SEIR epidemic is modeled as a two-type branching process. Occurrence of an outbreak depends on the number of exposed and infectious individuals. It is shown that the offspring pgfs for the exposed and infectious populations lead to an explicit formula for the probability of an outbreak. |
| format | Online Article Text |
| id | pubmed-7124073 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2015 |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-71240732020-04-06 Applications of Multi-Type Branching Processes Allen, Linda J. S. Stochastic Population and Epidemic Models Article Two applications of multi-type branching processes to epidemic models are presented. The first application is to an SEIR epidemic model and the second application is to the same epidemic model but with dispersal. The SEIR epidemic is modeled as a two-type branching process. Occurrence of an outbreak depends on the number of exposed and infectious individuals. It is shown that the offspring pgfs for the exposed and infectious populations lead to an explicit formula for the probability of an outbreak. 2015-06-25 /pmc/articles/PMC7124073/ http://dx.doi.org/10.1007/978-3-319-21554-9_3 Text en © Springer International Publishing Switzerland 2015 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. |
| spellingShingle | Article Allen, Linda J. S. Applications of Multi-Type Branching Processes |
| title | Applications of Multi-Type Branching Processes |
| title_full | Applications of Multi-Type Branching Processes |
| title_fullStr | Applications of Multi-Type Branching Processes |
| title_full_unstemmed | Applications of Multi-Type Branching Processes |
| title_short | Applications of Multi-Type Branching Processes |
| title_sort | applications of multi-type branching processes |
| topic | Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7124073/ http://dx.doi.org/10.1007/978-3-319-21554-9_3 |
| work_keys_str_mv | AT allenlindajs applicationsofmultitypebranchingprocesses |