203690

Fractional order COVID 19 pandemic model in Morocco: Dynamical analysis and Numerical simulation

Article

Last updated: 04 Jan 2025

Subjects

-

Tags

Mathematics & computer sciences and physics.

Abstract

In this paper, we introduce fractional order COVID-19 model in Morocco. We analyse model by calculating reproductive ratio R_0,finding free disease equilibrium point and studying local and global stability of free disease equilibrium point E_0.to show the advantages of fractional order model ,we simulate model by using Adams-type predictor-corrector method and compare our results to clinical data which obtained from morocco cases from 18 march 2020 to 5 April 2020 . from figures, we can easily see that data from fractional order is better than data obtained by integer order model according to the comparison with clinical data.
non-local fractional order is big advantage in disease modelling, we can choose more appropriate fractional order according to comparison with clinical data. Finally ,we want to mention that we can't study endemic equilibrium point by local and global stability because we study the spread of disease with unstable of number of infected individuals

DOI

10.21608/ajbas.2021.99552.1071

Keywords

COVID-19 fractional order model, Fractional Adams-type predictor-corrector method, boundedness of solution, local and global stability analysis, Numerical results

Authors

First Name

ahmed

Last Name

elsayed

MiddleName

mohammed

Affiliation

professor pure mathematics,Department of Mathematics, Faculty of Science,Alexandria university, Alexandria, Egypt

Email

amasayed@alexu.edu.eg

City

alxendria university

Orcid

-

First Name

Ibrahim

Last Name

Hanafy

MiddleName

mohammed

Affiliation

professor pure mathematics ,Port said University, Faculty of Science, Department of Mathematics, Egypt.

Email

ihanafy@hotmail.com

City

port said

Orcid

-

First Name

anas

Last Name

arafa

MiddleName

ahmed

Affiliation

associate Professor,Department of Mathematics, College of Sciences and Arts, Methnab, Qassim University, P.O. Box 931, Buridah, 51931, Methnab, Kingdom of Saudi Arabia

Email

a.arafa@qu.edu.sa

City

port said

Orcid

-

First Name

mohammed

Last Name

gouda

MiddleName

ibraheem

Affiliation

assistant lecturer ,mathematics and computer science , faculty of science , port said university

Email

dr.mohammed.gouda2016@gmail.com

City

port said

Orcid

-

Volume

3

Article Issue

1

Related Issue

29840

Issue Date

2022-01-01

Receive Date

2021-10-04

Publish Date

2022-01-01

Page Start

131

Page End

137

Online ISSN

2682-275X

Link

https://ajbas.journals.ekb.eg/article_203690.html

Detail API

https://ajbas.journals.ekb.eg/service?article_code=203690

Order

11

Type

Original Article

Type Code

947

Publication Type

Journal

Publication Title

Alfarama Journal of Basic & Applied Sciences

Publication Link

https://ajbas.journals.ekb.eg/

MainTitle

Fractional order COVID 19 pandemic model in Morocco: Dynamical analysis and Numerical simulation

Details

Type

Article

Created At

22 Jan 2023