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On SIR epidemic models with generally distributed infectious periods: Number of secondary cases and probability of infection

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2016

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World Scientific
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Gómez-Corral, A., y M. López-García. «On SIR Epidemic Models with Generally Distributed Infectious Periods: Number of Secondary Cases and Probability of Infection». International Journal of Biomathematics, vol. 10, n.o 02, febrero de 2017, p. 1750024. https://doi.org/10.1142/S1793524517500243.

Abstract

Recently, Clancy [SIR epidemic models with general infectious period distribution, Statist. Prob. Lett. 85 (2014) 1–5] has shown how SIR epidemics in which individuals’ infection periods are not necessarily exponentially distributed may be modeled in terms of a piecewise-deterministic Markov process (PDMP). In this paper, we present a more detailed description of the underlying PDMP, from which we analyze the population transmission number and the infection probability of a certain susceptible individual.

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