On the exact reproduction number in SIS epidemic models with vertical transmission
This paper proposes a bi-variate competition process to describe the spread of epidemics of SIS type through both horizontal and vertical transmission. The interest is in the exact reproduction number, R_{exact,0}, which is seen to be the stochastic version of the well-known basic reproduction numbe...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/87563 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/87563 |
| Access Level: | acceso abierto |
| Palabra clave: | bi-variate competition process reproduction number SIS epidemic model vertical transmission Ciencias 1208.06 Procesos de Markov |
| Sumario: | This paper proposes a bi-variate competition process to describe the spread of epidemics of SIS type through both horizontal and vertical transmission. The interest is in the exact reproduction number, R_{exact,0}, which is seen to be the stochastic version of the well-known basic reproduction number. We characterize the probability distribution function of R_{exact,0} by decomposing this number into two random contributions allowing us to distinguish between infectious person-to-person contacts and infections of newborns with infective parents. Numerical examples are presented to illustrate our analytical results. |
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