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

Dhivya Sundar (), Vediyappan Govindan, P. Vignesh (), Shyam Sundar Santra (), Dumitru Baleanu () and Mohamed Altanji ()
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Dhivya Sundar: Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India
Vediyappan Govindan: Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India
P. Vignesh: Department of Mathematics, Saveetha Institute of Medical and Technical Sciences, Saveetha School of Engineering, Chennai, Tamil Nadu, India
Shyam Sundar Santra: Department of Mathematics, JIS College of Engineering, Kalyani 741235, West Bengal, India
Dumitru Baleanu: Department of Computer Science and Mathematics, Lebanese American University, Beirut 11022801, Lebanon
Mohamed Altanji: Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

FRACTALS (fractals), 2024, vol. 32, issue 09n10, 1-20

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: Ebola Virus; Nipah Virus; Co-Infection Dynamics; Fractional Calculus; Mittag-Leffler Kernel (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X25400341

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