Parameter Estimation, Sensitivity Analysis and Optimal Control of a Periodic Epidemic Model with Application to HRSV in Florida
arXiv:1801.09634 · doi:10.19139/soic.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.
arXiv commentThis is a preprint of a paper whose final and definite form is published in Stat. Optim. Inf. Comput. [http://www.iapress.org/]
References in corpus (9)
- An epidemic model for cholera with optimal control treatment
- A TB-HIV/AIDS coinfection model and optimal control treatment
- A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde
- Optimal Control of a Tuberculosis Model with State and Control Delays
- Dynamics and optimal control of Ebola transmission
- Seasonality effects on Dengue: basic reproduction number, sensitivity analysis and optimal control
- Modeling and optimal control of HIV/AIDS prevention through PrEP
- Optimal control of non-autonomous SEIRS models with vaccination and treatment
- Approximated Analytical Solution to an Ebola Optimal Control Problem
Cited by in corpus (5)
- Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
- Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate
- Numerical Fractional Optimal Control of Respiratory Syncytial Virus Infection in Octave/MATLAB
- Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal
- Hybrid Method for Simulation of a Fractional COVID-19 Model with Real Case Application