Person: Palacios Rodríguez, Fátima
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First Name
Fátima
Last Name
Palacios Rodríguez
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
2023-08-01, Gómez Corral, Antonio, Palacios Rodríguez, Fátima, Rodríguez Bernal, María Teresa
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.