ArticleOpen Access

HYERS–ULAM STABILITY OF EBOLA AND NIPAH VIRUS CO-INFECTION FRACTIONAL DYNAMICS

DHIVYA SUNDAR

https://orcid.org/0000-0002-5401-5457

Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India

E-mail Address: dhivyasundar.msc@gmail.com

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VEDIYAPPAN GOVINDAN

https://orcid.org/0000-0003-4750-1964

Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India

E-mail Address: vgovindandr@gmail.com

Corresponding author.

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P. VIGNESH

https://orcid.org/0009-0003-4671-7285

Department of Mathematics, Saveetha Institute of Medical and Technical Sciences, Saveetha School of Engineering, Chennai, Tamil Nadu, India

E-mail Address: vigneshmaths063@gmail.com

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SHYAM SUNDAR SANTRA

https://orcid.org/0000-0001-9740-3081

Department of Mathematics, JIS College of Engineering, Kalyani 741235, West Bengal, India

E-mail Address: shyam01.math@gmail.com

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DUMITRU BALEANU

https://orcid.org/0000-0002-0286-7244

Department of Computer Science and Mathematics, Lebanese American University, Beirut 11022801, Lebanon

E-mail Address: dumitru.baleanu@lau.edu.lb

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, and

MOHAMED ALTANJI

https://orcid.org/0000-0002-8137-2046

Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

E-mail Address: maltenji@kku.edu.sa

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https://doi.org/10.1142/S0218348X25400341Cited by:0 (Source: Crossref)

This article is part of the issue:

Special Issue on Application of Brain-Like Computing to the Modeling and Simulation of Complex Systems — Part I
Leading Guest Editor: Shadi Mahmoud Faleh AlZu’bi, Guest Editors: Maysam Abbod and Ashraf Darwish

Abstract

In this research, the goal is to formulate a mathematical model that predicts the transference mechanisms of Ebola virus (EBOV) and Nipah virus (NIV) infections. They utilize fractional-order derivatives to describe the behavior of the viruses, particularly focusing on the difference in disease manifestation between humans and fruit bats, the putative natural reservoirs. Additionally, they employ fixed-point theory to analyze the qualitative aspects of their model. Also, we investigate the stability of the model using Ulam-Hyers-type results. Furthermore, we utilize the fractional Atangana–Baleanu integral and the Adams–Milton numerical method using MATLAB to provide graphical representations and insights into the behavior of the viruses under various conditions of transference.

Keywords:

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Vol. 32, No. 09n10

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History

Received 6 June 2024

Accepted 16 August 2024

Published: November 30, 2024

Information

This is an Open Access article in the “Special Issue on Application of Brain-like Computing to the Modeling and Simulation of Complex Systems — Part I”, edited by Shadi Mahmoud Faleh AlZu’bi (Al-Zaytoonah University of Jordan, Jordan), Maysam Abbod (Brunel University London, UK) & Ashraf Darwish (Helwan University, Cairo, Egypt), published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 (CC BY-NC-ND) License, which permits use, distribution and reproduction, provided that the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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HYERS–ULAM STABILITY OF EBOLA AND NIPAH VIRUS CO-INFECTION FRACTIONAL DYNAMICS

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