Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic Model with Application to HRSV in Florida
Rosa, S.
; Torres, D. T.
Statistics, Optimization and Information Computing Vol. 6, Nº 1, pp. 139 - 149, February, 2018.
ISSN (print): 2311-004X
ISSN (online): 2310-5070
Scimago Journal Ranking: 0,23 (in 2018)
Digital Object Identifier: http://dx.doi.org/10.19139%2Fsoic.v6i1.472
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.
