Gómez Corral, AntonioPalacios Rodríguez, FátimaRodríguez Bernal, María Teresa2023-09-052023-09-052023-08-01Gómez-Corral A, Palacios-Rodríguez F, Rodríguez-Bernal MT. On the exact reproduction number in SIS epidemic models with vertical transmission. Comp Appl Math. 2023 August 22; 42: 291.10.1007/s40314-023-02424-5https://hdl.handle.net/20.500.14352/87563This 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articlehttps://doi.org/10.1007/s40314-023-02424-5https://link.springer.com/article/10.1007/s40314-023-02424-5open accessbi-variate competition processreproduction numberSIS epidemic modelvertical transmissionCiencias1208.06 Procesos de Markov