Optimal Control Model for Vaccination Against H1N1 Flu

Optimal Control Model for Vaccination Against H1N1 Flu

Authors

DOI:

https://doi.org/10.5433/1679-0375.2020v41n1p105

Keywords:

Optimal control, Mathematical modeling, Pontryagin’s maximum principle, H1N1 flu, Vaccination

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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Author Biographies

Pablo Amauri Carvalho Araujo e Souza, Universidade Federal do Rio de Janeiro

PhD student, Inst. Alberto Luiz Coimbra from Pós Grad. and Research Eng., UFRJ, RJ, Brazil

Claudia Mazza Dias, Universidade Federal Rural do Rio de Janeiro

Profa. Dr., Prog. Post Grad. in Matem Modeling. and Comp., UFRRJ, Nova Iguaçu, RJ, Brazil

Edilson Fernandes de Arruda, Universidade Federal do Rio de Janeiro

Prof. Dr., Inst. Alberto Luiz Coimbra from Pós Grad. and Research Eng, UFRJ, Rio de Janeiro, RJ, Brazil

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Published

2020-06-22

How to Cite

Souza, P. A. C. A. e, Dias, C. M., & de Arruda, E. F. (2020). Optimal Control Model for Vaccination Against H1N1 Flu. Semina: Ciências Exatas E Tecnológicas, 41(1), 105–114. https://doi.org/10.5433/1679-0375.2020v41n1p105

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