Fractional Discrete Modeling and Numerical Analysis of Hepatitis B and C Dynamics with Neural Network Approximation

Authors

  • Sajid Ali Shah Department of Zoology Government Degree College Thana Malakand,
  • Nasir Rehman Department of Math Allama Iqbal Open University Islamabad Pakistan
  • Sadique Ahmad IAS Data Science and BlockChain Laboratory, College of Computer and Information Sciences, Prince Sultan University
  • Mohammed A.Elaffendi IAS Data Science and BlockChain Laboratory, College of Computer and Information Sciences, Prince Sultan University
  • Abdelhamied Ashraf Ateya IAS Data Science and BlockChain Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6481

Keywords:

Viral infections, Difference equations, Numerical investigation, Neural networks.

Abstract

This paper is devoted to analysis the dynamics of hepatitis B and C through some mathematical difference equations. Serious viral illnesses that mainly affect the liver, hepatitis B and C can cause inflammation and even damage to the liver. Hepatitis B can spread by bodily fluids such as semen or vaginal fluid, even though both are blood-borne. While hepatitis C can be cured with medication, hepatitis B can be prevented with vaccine. We formulate a mathematical model of the mentioned disease through fractional difference equations using the Caputo fractional difference operator (CFDO). Existence theory, Ulam-Hyers (UH) stability and numerical investigation are deduced. Further,  analysis based on artificial intelligence (AI) is considered. We have used neural networks (NNs) based investigations to conduct our study.  Various graphical illustrations are given to demonstrate our results. For our analysis we use Matlab software with 2023 version.

Author Biographies

  • Nasir Rehman, Department of Math Allama Iqbal Open University Islamabad Pakistan

    He is associate professor 

  • Sadique Ahmad, IAS Data Science and BlockChain Laboratory, College of Computer and Information Sciences, Prince Sultan University

    Researcher in Prince Sultan University

  • Mohammed A.Elaffendi, IAS Data Science and BlockChain Laboratory, College of Computer and Information Sciences, Prince Sultan University

    He is full professor

  • Abdelhamied Ashraf Ateya, IAS Data Science and BlockChain Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586

    He is researcher in Prince Sultan University

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Biosciences

License

Copyright (c) 2025 Sajid Ali Shah, Nasir Rehman, Sadique Ahmad, Mohammed A.Elaffendi, Abdelhamied Ashraf Ateya

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How to Cite

Fractional Discrete Modeling and Numerical Analysis of Hepatitis B and C Dynamics with Neural Network Approximation. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6481. https://doi.org/10.29020/nybg.ejpam.v18i3.6481