On decomposing the exact reproductive number in a SIS model by considering the way of transmission

F. Palacios Rodriguez

The reproductive number is an index that let us to understand the impact that an
infectious disease will have in the initial stage of its spread. In a deterministic context,
this index is defined as the average number of infections generated by an infected
individual. The stochastic version of the index, the exact reproductive number, counts
the exact number of secondary cases produced by a typical infective individual during
its entire infectious period. Although both indexes have been widely studied, for the first
time in this work, the exact reproductive number is decomposed by taking into account
vertical and horizontal transmissions. We deal with a SIS model where we assume that
individuals can be recovered by treatment or by themselves. The description of the
number of infected and of susceptible individuals is specified by a finite two-dimensional
quasi birth-death process. Different numerical experiments are presented and
discussed.

Keywords: Epidemics, QBD process, SIS model, reproductive number

Scheduled

GT17 Stochastic Processes and their Applications III
June 7, 2022  4:50 PM
A26

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P. Ramirez Cobo, R. E. Lillo, P. De la Concepción Morales

Distribution of escape times of Brownian motion with regeneration at Poisson epochs

J. Villarroel Rodriguez

Probabilidad de ruina en el modelo Económico de Sparre Andersen.

J. A. Vega Coso, F. J. Villarroel Rodríguez

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