Optimal Control against the Human Papillomavirus: Protection versus Eradication of the Infection

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ID: 7691
2019
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Abstract
We investigate the optimal vaccination and screening strategies to minimize human papillomavirus (HPV) associated morbidity and the interventions cost. We propose a two-sex compartmental model of HPV-infection with time-dependent controls (vaccination of adolescents, adults, and screening) which can act simultaneously. We formulate optimal control problems complementing our model with two different objective functionals. The first functional corresponds to the protection of the vulnerable group and the control problem consists of minimizing the cumulative level of infected females over a fixed time interval. The second functional aims to eliminate the infection, and, thus, the control problem consists of minimizing the total prevalence at the end of the time interval. We prove the existence of solutions for the control problems, characterize the optimal controls, and carry out numerical simulations using various initial conditions. The results and properties and drawbacks of the model are discussed.
Reference Key
fernando2019optimalabstract Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Saldaña, Fernando;Korobeinikov, Andrei;Barradas, Ignacio;Saldaña, Fernando;Korobeinikov, Andrei;Barradas, Ignacio;
Journal abstract and applied analysis
Year 2019
DOI
10.1155/2019/4567825
URL
https://www.hindawi.com/journals/aaa/2019/4567825/abs/
Keywords Keywords not found

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