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A computational stochastic procedure for solving the epidemic breathing transmission system

This work provides numerical simulations of the nonlinear breathing transmission epidemic system using the proposed stochastic scale conjugate gradient neural networks (SCGGNNs) procedure. The mathematical model categorizes the breathing transmission epidemic model into four dynamics based on a nonl...

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Autores principales: AbuAli, Najah, Khan, Muhammad Bilal, Sabir, Zulqurnain
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10533895/
https://www.ncbi.nlm.nih.gov/pubmed/37758765
http://dx.doi.org/10.1038/s41598-023-43324-2
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author AbuAli, Najah
Khan, Muhammad Bilal
Sabir, Zulqurnain
author_facet AbuAli, Najah
Khan, Muhammad Bilal
Sabir, Zulqurnain
author_sort AbuAli, Najah
collection PubMed
description This work provides numerical simulations of the nonlinear breathing transmission epidemic system using the proposed stochastic scale conjugate gradient neural networks (SCGGNNs) procedure. The mathematical model categorizes the breathing transmission epidemic model into four dynamics based on a nonlinear stiff ordinary differential system: susceptible, exposed, infected, and recovered. Three different cases of the model are taken and numerically presented by applying the stochastic SCGGNNs. An activation function ‘log-sigmoid’ uses twenty neurons in the hidden layers. The precision of SCGGNNs is obtained by comparing the proposed and database solutions. While the negligible absolute error is performed around 10(–06) to 10(–07), it enhances the accuracy of the scheme. The obtained results of the breathing transmission epidemic system have been provided using the training, verification, and testing procedures to reduce the mean square error. Moreover, the exactness and capability of the stochastic SCGGNNs are approved through error histograms, regression values, correlation tests, and state transitions.
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spelling pubmed-105338952023-09-29 A computational stochastic procedure for solving the epidemic breathing transmission system AbuAli, Najah Khan, Muhammad Bilal Sabir, Zulqurnain Sci Rep Article This work provides numerical simulations of the nonlinear breathing transmission epidemic system using the proposed stochastic scale conjugate gradient neural networks (SCGGNNs) procedure. The mathematical model categorizes the breathing transmission epidemic model into four dynamics based on a nonlinear stiff ordinary differential system: susceptible, exposed, infected, and recovered. Three different cases of the model are taken and numerically presented by applying the stochastic SCGGNNs. An activation function ‘log-sigmoid’ uses twenty neurons in the hidden layers. The precision of SCGGNNs is obtained by comparing the proposed and database solutions. While the negligible absolute error is performed around 10(–06) to 10(–07), it enhances the accuracy of the scheme. The obtained results of the breathing transmission epidemic system have been provided using the training, verification, and testing procedures to reduce the mean square error. Moreover, the exactness and capability of the stochastic SCGGNNs are approved through error histograms, regression values, correlation tests, and state transitions. Nature Publishing Group UK 2023-09-27 /pmc/articles/PMC10533895/ /pubmed/37758765 http://dx.doi.org/10.1038/s41598-023-43324-2 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
AbuAli, Najah
Khan, Muhammad Bilal
Sabir, Zulqurnain
A computational stochastic procedure for solving the epidemic breathing transmission system
title A computational stochastic procedure for solving the epidemic breathing transmission system
title_full A computational stochastic procedure for solving the epidemic breathing transmission system
title_fullStr A computational stochastic procedure for solving the epidemic breathing transmission system
title_full_unstemmed A computational stochastic procedure for solving the epidemic breathing transmission system
title_short A computational stochastic procedure for solving the epidemic breathing transmission system
title_sort computational stochastic procedure for solving the epidemic breathing transmission system
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10533895/
https://www.ncbi.nlm.nih.gov/pubmed/37758765
http://dx.doi.org/10.1038/s41598-023-43324-2
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