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Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic Model with Application to HRSV in Florida

2018/01/31 by Silverio Rosa, Silvierio Rosa, Delfim F. M. Torres · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #COVID-19 epidemiological studies #Control (management) #Control theory (sociology) #Epidemic control #Epidemic model #Mathematical and Theoretical Epidemiology and Ecology Models #Optimal control #Respiratory viral infections research #Sensitivity (control systems) #State (computer science) #math.OC #msc:34C60 #msc:49M05 #msc:92D30 #q-bio.PE

paper · pdf · doi:10.19139/soic.v6i1.472

published as Stat. Optim. Inf. Comput. 6 (2018), no. 1, 139--149 · This is a preprint of a paper whose final and definite form is published in Stat. Optim. Inf. Comput. [http://www.iapress.org/]

arxiv created 2018/02/23 · openalex created_date 2018/02/23 · arxiv updated 2018/02/27 · openalex publication_date 2018/02/27 · openalex updated_date 2026/08/05

Abstract

A state wide Human Respiratory Syncytial Virus (HRSV) surveillance system was implemented in Florida in 1999 to support clinical decision-making for prophylaxis of premature infants. The research presented in this paper addresses the problem of fitting real data collected by the Florida HRSV surveillance system by using a periodic SEIRS mathematical model. A sensitivity and cost-effectiveness analysis of the model is done and an optimal control problem is formulated and solved with treatment as the control variable.

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