Gamboa, M and Lopez Herrero, MJ (2019) Measuring infection transmission in a stochastic SIV model with infection reintroduction and imperfect vaccine. [Preprint]

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Abstract

An additional compartment of vaccinated individuals is considered in a SIS stochastic epidemic model with infection reintroduction. The quantification of the spread of the disease is modeled by a continuous time Markov chain. A well-known measure of the initial transmission potential is the basic reproduction number $R_0$, which determines the herd immunity threshold or the critical proportion of immune individuals required to stop the spread of a disease when a vaccine offers a complete protection. Due to repeated contacts between the typical infective and previously infected individuals, $R_0$ overestimates the average number of secondary infections and leads to, perhaps unnecessary, high immunization coverage.
Assuming that the vaccine is imperfect, alternative measures to $R_0$ are defined in order to study the influence of the initial coverage and vaccine efficacy on the transmission of the epidemic.

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Item Type:	Preprint
Creators:	Creators Email ORCID Gamboa, M Mgamboa@ucm.es Lopez Herrero, MJ Lherrero@ucm.es 0000-0003-2835-2940
Keywords:	Stochastic Markovian epidemic; Imperfect vaccine; Basic reproduction number
Subjects:	Specific Sciences > Mathematics Specific Sciences > Probability/Statistics
Depositing User:	Dr MJ Lopez-Herrero
Date Deposited:	02 Jan 2020 23:45
Last Modified:	02 Jan 2020 23:45
Item ID:	16772
Subjects:	Specific Sciences > Mathematics Specific Sciences > Probability/Statistics
Date:	2019
URI:	https://philsci-archive.pitt.edu/id/eprint/16772

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