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Optimal control model for vaccination against H1N1 flu

Optimal control model for vaccination against H1N1 flu
Optimal control model for vaccination against H1N1 flu
This paper introduces a mathematical model to describe the dynamics of the spread of H1N1 flu in a human population. The model is comprised of a system of ordinary differential equations that involve susceptible, exposed, infected and recovered/immune individuals. The distinguishing feature in the proposed model with respect to other models in the literature is that it takes into account the possibility of infection due to immunity loss over time. The acquired immunity comes from self-recovery or via vaccination. Furthermore, the proposed model strives to find an optimal vaccination strategy by means of an optimal control problem and Pontryagin’s Maximum Principle.
Souza, Pablo A.C A.
6904a915-8a8c-4233-96aa-69aabe437004
Dias, Claudia Mazza
95b06278-5b4f-4b12-aa33-68a096f4a436
Arruda, Edilson Fernandes De
8eb3bd83-e883-4bf3-bfbc-7887c5daa911
Souza, Pablo A.C A.
6904a915-8a8c-4233-96aa-69aabe437004
Dias, Claudia Mazza
95b06278-5b4f-4b12-aa33-68a096f4a436
Arruda, Edilson Fernandes De
8eb3bd83-e883-4bf3-bfbc-7887c5daa911

Souza, Pablo A.C A., Dias, Claudia Mazza and Arruda, Edilson Fernandes De (2020) Optimal control model for vaccination against H1N1 flu. Semina: Ciências Exatas e Tecnológicas, 41 (1). (doi:10.5433/1679-0375.2020v41n1p105).

Record type: Article

Abstract

This paper introduces a mathematical model to describe the dynamics of the spread of H1N1 flu in a human population. The model is comprised of a system of ordinary differential equations that involve susceptible, exposed, infected and recovered/immune individuals. The distinguishing feature in the proposed model with respect to other models in the literature is that it takes into account the possibility of infection due to immunity loss over time. The acquired immunity comes from self-recovery or via vaccination. Furthermore, the proposed model strives to find an optimal vaccination strategy by means of an optimal control problem and Pontryagin’s Maximum Principle.

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More information

Accepted/In Press date: 20 June 2020
Published date: 22 June 2020

Identifiers

Local EPrints ID: 446990
URI: http://eprints.soton.ac.uk/id/eprint/446990
PURE UUID: 2d5bb988-fef9-42a9-b5f9-82d6542c31ba
ORCID for Edilson Fernandes De Arruda: ORCID iD orcid.org/0000-0002-9835-352X

Catalogue record

Date deposited: 01 Mar 2021 17:32
Last modified: 13 Dec 2021 03:40

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Contributors

Author: Pablo A.C A. Souza
Author: Claudia Mazza Dias

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