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 p...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidade Estadual de Londrina
2020-06-01
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| Series: | Semina: Ciências Exatas e Tecnológicas |
| Subjects: | |
| Online Access: | http://www.uel.br/revistas/uel/index.php/semexatas/article/view/40120 |
| Summary: | 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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| ISSN: | 1676-5451 1679-0375 |