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Measuring infection transmission in a stochastic SIV model with infection reintroduction and imperfect vaccine

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:
CreatorsEmailORCID
Gamboa, MMgamboa@ucm.es
Lopez Herrero, MJLherrero@ucm.es0000-0003-2835-2940
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-dev.library.pitt.edu/id/eprint/16772

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