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Title: Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
Author: Rosa, Silvério
Torres, Delfim F. M.
Keywords: Human respiratory syncytial virus (HRSV)
Compartmental mathematical models
Fractional optimal control
Issue Date: 2018
Publisher: Elsevier
Abstract: A human respiratory syncytial virus surveillance system was implemented in Florida in 1999, to support clinical decision-making for prophylaxis of premature newborns. Recently, a local periodic SEIRS mathematical model was proposed in [Stat. Optim. Inf. Comput. 6 (2018), no.1, 139--149] to describe real data collected by Florida's system. In contrast, here we propose a non-local fractional (non-integer) order model. A fractional optimal control problem is then formulated and solved, having treatment as the control. Finally, a cost-effectiveness analysis is carried out to evaluate the cost and the effectiveness of proposed control measures during the intervention period, showing the superiority of obtained results with respect to previous ones.
Peer review: yes
DOI: 10.1016/j.chaos.2018.10.021
ISSN: 0960-0779
Publisher Version:
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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