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2020 An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model
Khalid Adnaoui, Adil El Alami Laaroussi
Int. J. Differ. Equ. 2020: 1-15 (2020). DOI: 10.1155/2020/4749365

Abstract

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.

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Khalid Adnaoui. Adil El Alami Laaroussi. "An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model." Int. J. Differ. Equ. 2020 1 - 15, 2020. https://doi.org/10.1155/2020/4749365

Information

Received: 15 September 2019; Revised: 15 February 2020; Accepted: 18 February 2020; Published: 2020
First available in Project Euclid: 14 May 2020

MathSciNet: MR4083295
Digital Object Identifier: 10.1155/2020/4749365

Rights: Copyright © 2020 Hindawi

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