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

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Gamboa Pérez, María and Lopez Herrero, María Jesús (2018) On the Number of Periodic Inspections During Outbreaks of Discrete-Time Stochastic SIS Epidemic Models. Mathematics, 6 (8). p. 128. ISSN 2227-7390

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Official URL: https://doi.org/10.3390/math6080128




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.


Item Type:Article
Uncontrolled Keywords:Discrete time stochastic model; first-passage time; time between inspections
Subjects:Sciences > Statistics
ID Code:62189
Deposited On:17 Sep 2020 10:33
Last Modified:17 Sep 2020 10:33

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