AIMS Mathematics (Jan 2023)

A stochastic computational scheme for the computer epidemic virus with delay effects

  • Wajaree Weera,
  • Thongchai Botmart,
  • Teerapong La-inchua ,
  • Zulqurnain Sabir,
  • Rafaél Artidoro Sandoval Núñez,
  • Marwan Abukhaled,
  • Juan Luis García Guirao

DOI
https://doi.org/10.3934/math.2023007
Journal volume & issue
Vol. 8, no. 1
pp. 148 – 163

Abstract

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This work aims to provide the numerical performances of the computer epidemic virus model with the time delay effects using the stochastic Levenberg-Marquardt backpropagation neural networks (LMBP-NNs). The computer epidemic virus model with the time delay effects is categorized into four dynamics, the uninfected S(x) computers, the latently infected L(x) computers, the breaking-out B(x) computers, and the antivirus PC's aptitude R(x). The LMBP-NNs approach has been used to numerically simulate three cases of the computer virus epidemic system with delay effects. The stochastic framework for the computer epidemic virus system with the time delay effects is provided using the selection of data with 11%, 13%, and 76% for testing, training, and verification together with 15 neurons. The proposed and data-based Adam technique is overlapped to execute the LMBP-NNs method's exactness. The constancy, authentication, precision, and capability of the LMBP-NNs scheme are perceived with the analysis of the state transition measures, regression actions, correlation performances, error histograms, and mean square error measures.

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