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Research Article | Open Access

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

Wajaree Weera1Thongchai Botmart1( )Teerapong La-inchua2Zulqurnain Sabir3,4Rafaél Artidoro Sandoval Núñez5Marwan Abukhaled6Juan Luis García Guirao7
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand
Department of Mathematics, Faculty of Science, University of Phayao, Phayao 56000, Thailand
Department of Mathematical Sciences, United Arab Emirates University, P.O.Box 15551, Al Ain, UAE
Department of Mathematics, Hazara University, Mansehra, Pakistan
Universidad Nacional Autónoma de Chota, Cajamarca, Perú
Department Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates
Technical University of Cartagena, Applied Mathematics and Statistics Department, Spain
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Abstract

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.

CLC number: 60H35, 92B20

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AIMS Mathematics
Pages 148-163

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Cite this article:
Weera W, Botmart T, La-inchua T, et al. A stochastic computational scheme for the computer epidemic virus with delay effects. AIMS Mathematics, 2023, 8(1): 148-163. https://doi.org/10.3934/math.2023007

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Received: 13 July 2022
Revised: 19 August 2022
Accepted: 01 September 2022
Published: 15 January 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)