An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model-Reference-Cited by-同舟云学术

An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model

Published:2020-04-04 Issue: Volume:2020 Page:1-15
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Adnaoui Khalid¹^ORCID,El Alami Laaroussi Adil²^ORCID

Affiliation:

1. Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco

2. Laboratory of Applied Sciences and Didactics, Higher Normal School Tetouan, Abdelmalek Essaadi University, Tetouan, Morocco

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2020/4749365.pdf

Reference25 articles.

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