An optimal control for a two-dimensional spatiotemporal SEIR epidemic model
type: Item
instance of: scholarly article
title: An optimal control for a two-dimensional spatiotemporal SEIR epidemic model
zbMATH Open document ID: 1464.49034
DOI: 10.1155/2020/4749365
author: Khalid Adnaoui
author: Adil El Alami Laaroussi
published in: International Journal of Differential Equations
publication date: 2021-05-19T00:00:00Z
review text: Summary: In this paper, we present an application of optimal control theory on a two-dimensional spatial-temporal SEIR (susceptible, exposed, infected, and restored) epidemic model, in the form of a partial differential equation. Our goal is to minimize the number of susceptible and infected individuals and to maximize recovered individuals by reducing the cost of vaccination. In addition, the existence of the optimal control and solution of the state system is proven. The characterization of the control is given in terms of state function and adjoint. Numerical results are provided to illustrate the effectiveness of our adopted approach.
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7349528
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/4749365
OpenAlex ID: W3014955114
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description: scientific article; zbMATH DE number 7349528