报告题目:Optimal Control Problem of an Influenza Model.

报告人：Hee-Dae Kwon教授

报告时间：13:30 – 14:30

报告地点：教师活动中心

报告人：Hee-Dae Kwon教授 (Inha University)

报告时间：2019年1月10日（周四）13:30 – 14:30

报告地点：教师活动中心

报告人简介：Hee-Dae Kwon教授现任韩国仁荷大学大学终身教授。研究领域生物数学，控制优化，数值计算等。

Title: Optimal Control Problem of an Influenza Model.

Abstract: This study considers an optimal intervention strategy for influenza outbreaks. Variations in the SEIAR model are considered to include age structure and control strategies include

vaccination, antiviral treatment, and social distancing such as school closures. We formulate an optimal control problem by minimizing the incidence of influenza outbreaks while considering intervention costs. We also investigate an optimal control problem of a SIR reaction-diffusion system to derive an efficient vaccination strategy for influenza outbreaks.

The control problem reflect realistic restrictions associated with limited total vaccination coverage and the maximum daily vaccine administration using inequality constraints. We  introduce a penalty method to deal with the constrained optimization problem. We discuss a gradient-based algorithm to solve the optimality system and present the numerical results of the optimal vaccination strategy that satisfies the inequality constraints. The numerical results show that the amount of vaccine to be used is dependent on the diffusion rate.