Feedback control problem of an SIR epidemic model based on the Hamilton-Jacobi-Bellman equation

Feedback control problem of an SIR epidemic model based on the Hamilton-Jacobi-Bellman equation

We consider a feedback control problem of a susceptible-infective-recovered (SIR) model to design an efficient vaccination strategy for influenza outbreaks. We formulate an optimal control problem that minimizes the number of people who become infected, as well as the costs of vaccination. A feedbac...

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Bibliographic Details
Main Authors: Yoon-gu Hwang, Hee-Dae Kwon, Jeehyun Lee
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
sir model
feedback control problem
hamilton-jacobi-bellman (hjb) equation
upwind finite difference method
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2020121?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mbe.2020121?viewType=HTML

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