An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model
Joint Authors
El Alami laaroussi, Adil
Adnaoui, Khalid
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Adnaoui, Khalid& El Alami laaroussi, Adil. 2020. An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1169930
Modern Language Association (MLA)
Adnaoui, Khalid& El Alami laaroussi, Adil. An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model. International Journal of Differential Equations No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1169930
American Medical Association (AMA)
Adnaoui, Khalid& El Alami laaroussi, Adil. An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1169930
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169930
