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Artificial neural network scheme to solve the hepatitis B virus model

Authors
  • Haider, Qusain1
  • Hassan, Ali1
  • Eldin, Sayed M.2
  • 1 Department of Mathematics, University of Gujrat, Gujrat , (Pakistan)
  • 2 Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo , (Egypt)
Type
Published Article
Journal
Frontiers in Applied Mathematics and Statistics
Publisher
Frontiers Media S.A.
Publication Date
Mar 30, 2023
Volume
9
Identifiers
DOI: 10.3389/fams.2023.1072447
Source
Frontiers
Keywords
Disciplines
  • Applied Mathematics and Statistics
  • Original Research
License
Green

Abstract

This article aims to describe the simulation studies of the hepatitis B virus non-linear system using supervised neural networks procedures supported by Levenberg-Marquardt back propagation methodology. The proposed strategy has five distinct quantities: susceptible X(t), symptomatic infections Y(t), chronic infections W(t), recovered population R(t), and a population that has received vaccinations Z(t). The reference data set for all three distinct cases has been obtained utilizing the ND-Solver and Adams method in Mathematica software. The outcomes have been validated with performance plots for all cases. To check the accuracy and effectiveness of proposed methodology mean square error has are presented. State transition, and regression plots are illustrated to elaborated the testing, training, and validation methodology. Additionally, absolute errors for different components of hepatitis B virus model are demonstrated to depict the error occurring during distinct cases. Whereas the data assigned to training is 81%, and 9% for each testing and validation. The mean square error for all three cases is 10−12 this show the accuracy and correctness of proposed methodology.

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