Fractional-Order SEIR Covid-19 Model: Discretization and Stability Analysis

Iqbal M. Batiha; Noureddine Djenina; Adel Ouannas; Taki Eddine Oussaeif

doi:10.1007/978-981-99-0447-1_20

Fractional-Order SEIR Covid-19 Model: Discretization and Stability Analysis

Iqbal M. Batiha
, Noureddine Djenina
, Adel Ouannas
, Taki Eddine Oussaeif

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
University of Oum El Bouaghi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

12 Scopus citations

Abstract

From the perspective of the fact that confirms all statistics on epidemics can be classified as discrete, we aim in this paper to provide a new discrete-time version of a recent SEIR mathematical model. In other words, a new nabla fractional-order discrete-time system associated with the SEIR model is investigated in terms of its stability analysis including its positively invariant region, fixed points, and basic reproductive number. Several numerical simulations are illustrated to verify our findings.

Original language	English
Title of host publication	Mathematics and Computation - IACMC 2022
Editors	Dia Zeidan, Juan C. Cortés, Aliaa Burqan, Ahmad Qazza, Gharib Gharib, Jochen Merker
Publisher	Springer
Pages	245-256
Number of pages	12
ISBN (Print)	9789819904464
DOIs	https://doi.org/10.1007/978-981-99-0447-1_20
State	Published - 2023
Event	7th International Arab Conference on Mathematics and Computations, IACMC 2022 - Zarqa, Jordan Duration: 11 May 2022 → 13 May 2022

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	418
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	7th International Arab Conference on Mathematics and Computations, IACMC 2022
Country/Territory	Jordan
City	Zarqa
Period	11/05/22 → 13/05/22

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Basic reproductive number
Discrete fractional calculus
Fixed points
Fractional-order discrete-time system
Positively invariant region

Access to Document

10.1007/978-981-99-0447-1_20

Cite this

Batiha, I. M., Djenina, N., Ouannas, A., & Oussaeif, T. E. (2023). Fractional-Order SEIR Covid-19 Model: Discretization and Stability Analysis. In D. Zeidan, J. C. Cortés, A. Burqan, A. Qazza, G. Gharib, & J. Merker (Eds.), Mathematics and Computation - IACMC 2022 (pp. 245-256). (Springer Proceedings in Mathematics and Statistics; Vol. 418). Springer. https://doi.org/10.1007/978-981-99-0447-1_20

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title = "Fractional-Order SEIR Covid-19 Model: Discretization and Stability Analysis",

abstract = "From the perspective of the fact that confirms all statistics on epidemics can be classified as discrete, we aim in this paper to provide a new discrete-time version of a recent SEIR mathematical model. In other words, a new nabla fractional-order discrete-time system associated with the SEIR model is investigated in terms of its stability analysis including its positively invariant region, fixed points, and basic reproductive number. Several numerical simulations are illustrated to verify our findings.",

keywords = "Basic reproductive number, Discrete fractional calculus, Fixed points, Fractional-order discrete-time system, Positively invariant region",

author = "Batiha, \{Iqbal M.\} and Noureddine Djenina and Adel Ouannas and Oussaeif, \{Taki Eddine\}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; 7th International Arab Conference on Mathematics and Computations, IACMC 2022 ; Conference date: 11-05-2022 Through 13-05-2022",

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Batiha, IM, Djenina, N, Ouannas, A & Oussaeif, TE 2023, Fractional-Order SEIR Covid-19 Model: Discretization and Stability Analysis. in D Zeidan, JC Cortés, A Burqan, A Qazza, G Gharib & J Merker (eds), Mathematics and Computation - IACMC 2022. Springer Proceedings in Mathematics and Statistics, vol. 418, Springer, pp. 245-256, 7th International Arab Conference on Mathematics and Computations, IACMC 2022, Zarqa, Jordan, 11/05/22. https://doi.org/10.1007/978-981-99-0447-1_20

Fractional-Order SEIR Covid-19 Model: Discretization and Stability Analysis. / Batiha, Iqbal M.; Djenina, Noureddine; Ouannas, Adel et al.
Mathematics and Computation - IACMC 2022. ed. / Dia Zeidan; Juan C. Cortés; Aliaa Burqan; Ahmad Qazza; Gharib Gharib; Jochen Merker. Springer, 2023. p. 245-256 (Springer Proceedings in Mathematics and Statistics; Vol. 418).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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