Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection

Silvério Rosa and Delfim F.M. Torres

Chaos, Solitons & Fractals, 2018, vol. 117, issue C, 142-149

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.

Keywords: Human respiratory syncytial virus (HRSV); Compartmental mathematical models; Fractional optimal control (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:117:y:2018:i:c:p:142-149

DOI: 10.1016/j.chaos.2018.10.021

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