2018/10/16 by Silvério Rosa, Silverio Rosa, Delfim F. M. Torres · 1 citation
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Animal Virus Infections Studies #Applied mathematics #Artificial intelligence #Computer science #Control (management) #Control theory (sociology) #Epidemic model #Fractional Differential Equations Solutions #Fractional calculus #Integer (computer science) #Internal medicine #Mathematical optimization #Mathematics #Medicine #Optimal control #Order (exchange) #Respiratory system #Respiratory viral infections research #math.OC #msc:34A08 #msc:49M05 #msc:92D30 #q-bio.PE
paper · pdf · doi:10.1016/j.chaos.2018.10.021
published as Chaos Solitons Fractals 117 (2018), 142--149 · This is a preprint of a paper whose final and definite form is with 'Chaos, Solitons & Fractals', available from [http://www.elsevier.com/locate/issn/09600779]. Submitted 23-July-2018; Revised 14-Oct-2018; Accepted 15-Oct-2018. arXiv admin note: substantial text overlap with arXiv:1801.09634
arxiv created 2018/10/16 · openalex publication_date 2018/10/24 · arxiv updated 2018/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.