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

• Silvério Rosa Department of Mathematics and Instituto de Telecomunicacoes (IT), University of Beira Interior, 6201-001 Covilha, Portugal
• Delfim F. M. Torres Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
Keywords: Human Respiratory Syncytial Virus (HRSV), Compartmental Mathematical Models, Estimation of Parameters, Optimal Control

### 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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Published
2018-02-27
How to Cite
Rosa, S., & Torres, D. F. M. (2018). Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic Model with Application to HRSV in Florida. Statistics, Optimization & Information Computing, 6(1), 139-149. https://doi.org/10.19139/soic.v6i1.472
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Section
Research Articles