Global Asymptotic Stability for Discrete-Time SEI Reaction-Diffusion Model

Nidal Anakira; Amel Hioual; Adel Ouannas; Taki Eddine Oussaeif; Iqbal M. Batiha

doi:10.1007/978-981-99-0447-1_30

Global Asymptotic Stability for Discrete-Time SEI Reaction-Diffusion Model

Nidal Anakira
, Amel Hioual
, Adel Ouannas
, Taki Eddine Oussaeif
, Iqbal M. Batiha

Nonlinear Dynamic Research Centre (NDRC)

Irbid National University
University of Oum El Bouaghi
Al-Zaytoonah University of Jordan

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

8 Scopus citations

Abstract

The global stability of solutions for a discrete-time globally dispersed reaction-diffusion SEI epidemic model with individual immigration is investigated in this work. The global stability is addressed using the Lyapunov functional after giving a discrete form of the reaction-diffusion SEI epidemic model. As in the continuous case, the unique steady-state is proven to be globally stable in the presence of diffusion. To validate the findings of this study, some numerical simulations are provided.

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	345-357
Number of pages	13
ISBN (Print)	9789819904464
DOIs	https://doi.org/10.1007/978-981-99-0447-1_30
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

Discrete-time reaction-diffusion SEI epidemic model
Global asymptotic stability
Lyapunov functional
Numerical simulations

Access to Document

10.1007/978-981-99-0447-1_30

Cite this

Anakira, N., Hioual, A., Ouannas, A., Oussaeif, T. E., & Batiha, I. M. (2023). Global Asymptotic Stability for Discrete-Time SEI Reaction-Diffusion Model. In D. Zeidan, J. C. Cortés, A. Burqan, A. Qazza, G. Gharib, & J. Merker (Eds.), Mathematics and Computation - IACMC 2022 (pp. 345-357). (Springer Proceedings in Mathematics and Statistics; Vol. 418). Springer. https://doi.org/10.1007/978-981-99-0447-1_30

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title = "Global Asymptotic Stability for Discrete-Time SEI Reaction-Diffusion Model",

abstract = "The global stability of solutions for a discrete-time globally dispersed reaction-diffusion SEI epidemic model with individual immigration is investigated in this work. The global stability is addressed using the Lyapunov functional after giving a discrete form of the reaction-diffusion SEI epidemic model. As in the continuous case, the unique steady-state is proven to be globally stable in the presence of diffusion. To validate the findings of this study, some numerical simulations are provided.",

keywords = "Discrete-time reaction-diffusion SEI epidemic model, Global asymptotic stability, Lyapunov functional, Numerical simulations",

author = "Nidal Anakira and Amel Hioual and Adel Ouannas and Oussaeif, \{Taki Eddine\} and Batiha, \{Iqbal M.\}",

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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editor = "Dia Zeidan and Cort{\'e}s, \{Juan C.\} and Aliaa Burqan and Ahmad Qazza and Gharib Gharib and Jochen Merker",

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Anakira, N, Hioual, A, Ouannas, A, Oussaeif, TE & Batiha, IM 2023, Global Asymptotic Stability for Discrete-Time SEI Reaction-Diffusion Model. 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. 345-357, 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_30

Global Asymptotic Stability for Discrete-Time SEI Reaction-Diffusion Model. / Anakira, Nidal; Hioual, Amel; 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. 345-357 (Springer Proceedings in Mathematics and Statistics; Vol. 418).

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

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