Gamboa-Perez, M orcid.org/0000-0003-3833-8595, López-García, M and Lopez-Herrero, MJ (2021) A stochastic SVIR model with imperfect vaccine and external source of infection. In: Lecture Notes in Computer Science. ASMTA 2021, 13-14 Dec 2021, Online. Springer Nature ISBN 978-3-030-91824-8
Abstract
A stochastic SIR (Susceptible - Infected - Recovered) type model, with external source of infection, is considered for the spread of a disease in a finite population of constant size. Our interest is in studying this process in the situation where some individuals have been vaccinated prior to the start of the epidemic, but where the efficacy of the vaccine to prevent infection is not perfect. The evolution of the epidemic is represented by an absorbing three-dimensional continuous-time Markov chain. We focus on analysing the time for a threshold number of individuals to become infected, and carry out a global sensitivity analysis for the impact of varying model parameters on the summary statistic of interest.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer Nature Switzerland AG 2021. This is an author produced version of a conference paper published in Lecture Notes in Computer Science. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Stochastic epidemic model; Markov chain; Time to absorption; Imperfect vaccine |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 29 Oct 2021 15:00 |
Last Modified: | 19 Dec 2021 19:45 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/978-3-030-91825-5_12 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:179641 |