RT Journal Article T1 On the exact reproduction number in SIS epidemic models with vertical transmission A1 Gómez Corral, Antonio A1 Palacios Rodríguez, Fátima A1 Rodríguez Bernal, María Teresa AB 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. PB Springer YR 2023 FD 2023-08-01 LK https://hdl.handle.net/20.500.14352/87563 UL https://hdl.handle.net/20.500.14352/87563 LA eng NO Gómez-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. NO Ministerio de Ciencia e Innovación DS Docta Complutense RD 11 abr 2025