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Mathematics 2018, 6(8), 128; https://doi.org/10.3390/math6080128

On the Number of Periodic Inspections During Outbreaks of Discrete-Time Stochastic SIS Epidemic Models

Department of Statistics and Data Science, Faculty of Statistical Studies, Complutense University of Madrid, 28040 Madrid, Spain
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Received: 4 July 2018 / Revised: 19 July 2018 / Accepted: 20 July 2018 / Published: 24 July 2018
(This article belongs to the Special Issue Stochastic Processes with Applications)
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Abstract

This paper deals with an infective process of type SIS, taking place in a closed population of moderate size that is inspected periodically. Our aim is to study the number of inspections that find the epidemic process still in progress. As the underlying mathematical model involves a discrete time Markov chain (DTMC) with a single absorbing state, the number of inspections in an outbreak is a first-passage time into this absorbing state. Cumulative probabilities are numerically determined from a recursive algorithm and expected values came from explicit expressions. View Full-Text
Keywords: discrete time stochastic model; first-passage time; time between inspections discrete time stochastic model; first-passage time; time between inspections
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Gamboa, M.; Lopez-Herrero, M.J. On the Number of Periodic Inspections During Outbreaks of Discrete-Time Stochastic SIS Epidemic Models. Mathematics 2018, 6, 128.

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