Article
On the exact reproduction number in SIS epidemic models with vertical transmission
Author/s | Gómez Corral, A.
Palacios Rodríguez, Fátima Rodríguez Bernal, M.T. |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 2023-08-22 |
Deposit Date | 2024-09-19 |
Published in |
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Abstract | 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,
, which is seen ... 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, , which is seen to be the stochastic version of the well-known basic reproduction number. We characterize the probability distribution function of 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. |
Citation | Gómez Corral, A., Palacios Rodríguez, F. y Rodríguez Bernal, M.T. (2023). On the exact reproduction number in SIS epidemic models with vertical transmission. Computational and Applied Mathematics, 42, 291-1. https://doi.org/10.1007/s40314-023-02424-5. |
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