Set-Valued Control Approach Applied to a COVID-19 Model with Screening and Saturated Treatment Function

Joint Authors

Rachik, Mostafa
Elhia, Mohamed
Boujallal, Lahoucine
Alkama, Meryem
Balatif, Omar

Source

Complexity

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-12-30

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Philosophy

Abstract EN

The purpose of this paper is modelling and controlling the spread of COVID-19 disease in Morocco.

A nonlinear mathematical model with two subclasses of infectious individuals is proposed.

The population is divided into five classes, namely, susceptible (S), exposed (E), undiagnosed infectious (Inc), diagnosed patients (Ic), and removed individuals.

To reflect the real dynamic of the COVID-19 transmission in Morocco, the real reported data are used for estimating model parameters.

Two controls representing screening effort and limited treatment are considered.

Based on viability theory and set-valued analysis, a Lyapunov function is constructed such that both exposed and infected populations are decreased to zero asymptotically.

The corresponding controls are derived via a continuous selection of adequately designed feedback map.

Numerical simulations are presented with three scenarios (cases when each control is used alone and the case when two controls are combined).

Our results show that when only one control is to be applied, screening is the most effective in decreasing the number of people in the three infected compartments, whereas combining both controls is found to be highly effective and leads to a significant improvement in the epidemiological situation of Morocco.

To the best of our knowledge, this work is the first one that applies the set-valued approach to a controlled COVID-19 model which agrees with the observed cases in Morocco.

American Psychological Association (APA)

Elhia, Mohamed& Boujallal, Lahoucine& Alkama, Meryem& Balatif, Omar& Rachik, Mostafa. 2020. Set-Valued Control Approach Applied to a COVID-19 Model with Screening and Saturated Treatment Function. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1145595

Modern Language Association (MLA)

Rachik, Mostafa…[et al.]. Set-Valued Control Approach Applied to a COVID-19 Model with Screening and Saturated Treatment Function. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1145595

American Medical Association (AMA)

Elhia, Mohamed& Boujallal, Lahoucine& Alkama, Meryem& Balatif, Omar& Rachik, Mostafa. Set-Valued Control Approach Applied to a COVID-19 Model with Screening and Saturated Treatment Function. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1145595

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1145595