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A mathematical model of coronavirus transmission by using the heuristic computing neural networks

In this study, the nonlinear mathematical model of COVID-19 is investigated by stochastic solver using the scaled conjugate gradient neural networks (SCGNNs). The nonlinear mathematical model of COVID-19 is represented by coupled system of ordinary differential equations and is studied for three dif...

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Autores principales: Sabir, Zulqurnain, Asmara, Adi, Dehraj, Sanaullah, Raja, Muhammad Asif Zahoor, Altamirano, Gilder Cieza, Salahshour, Soheil, Sadat, R., Ali, Mohamed R.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Published by Elsevier Ltd. 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9618448/
https://www.ncbi.nlm.nih.gov/pubmed/36339085
http://dx.doi.org/10.1016/j.enganabound.2022.10.033
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author Sabir, Zulqurnain
Asmara, Adi
Dehraj, Sanaullah
Raja, Muhammad Asif Zahoor
Altamirano, Gilder Cieza
Salahshour, Soheil
Sadat, R.
Ali, Mohamed R.
author_facet Sabir, Zulqurnain
Asmara, Adi
Dehraj, Sanaullah
Raja, Muhammad Asif Zahoor
Altamirano, Gilder Cieza
Salahshour, Soheil
Sadat, R.
Ali, Mohamed R.
author_sort Sabir, Zulqurnain
collection PubMed
description In this study, the nonlinear mathematical model of COVID-19 is investigated by stochastic solver using the scaled conjugate gradient neural networks (SCGNNs). The nonlinear mathematical model of COVID-19 is represented by coupled system of ordinary differential equations and is studied for three different cases of initial conditions with suitable parametric values. This model is studied subject to seven class of human population N(t) and individuals are categorized as: susceptible S(t), exposed E(t), quarantined Q(t), asymptotically diseased I(A)(t), symptomatic diseased I(S)(t) and finally the persons removed from COVID-19 and are denoted by R(t). The stochastic numerical computing SCGNNs approach will be used to examine the numerical performance of nonlinear mathematical model of COVID-19. The stochastic SCGNNs approach is based on three factors by using procedure of verification, sample statistics, testing and training. For this purpose, large portion of data is considered, i.e., 70%, 16%, 14% for training, testing and validation, respectively. The efficiency, reliability and authenticity of stochastic numerical SCGNNs approach are analysed graphically in terms of error histograms, mean square error, correlation, regression and finally further endorsed by graphical illustrations for absolute errors in the range of 10(−05) to 10(−07) for each scenario of the system model.
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spelling pubmed-96184482022-10-31 A mathematical model of coronavirus transmission by using the heuristic computing neural networks Sabir, Zulqurnain Asmara, Adi Dehraj, Sanaullah Raja, Muhammad Asif Zahoor Altamirano, Gilder Cieza Salahshour, Soheil Sadat, R. Ali, Mohamed R. Eng Anal Bound Elem Article In this study, the nonlinear mathematical model of COVID-19 is investigated by stochastic solver using the scaled conjugate gradient neural networks (SCGNNs). The nonlinear mathematical model of COVID-19 is represented by coupled system of ordinary differential equations and is studied for three different cases of initial conditions with suitable parametric values. This model is studied subject to seven class of human population N(t) and individuals are categorized as: susceptible S(t), exposed E(t), quarantined Q(t), asymptotically diseased I(A)(t), symptomatic diseased I(S)(t) and finally the persons removed from COVID-19 and are denoted by R(t). The stochastic numerical computing SCGNNs approach will be used to examine the numerical performance of nonlinear mathematical model of COVID-19. The stochastic SCGNNs approach is based on three factors by using procedure of verification, sample statistics, testing and training. For this purpose, large portion of data is considered, i.e., 70%, 16%, 14% for training, testing and validation, respectively. The efficiency, reliability and authenticity of stochastic numerical SCGNNs approach are analysed graphically in terms of error histograms, mean square error, correlation, regression and finally further endorsed by graphical illustrations for absolute errors in the range of 10(−05) to 10(−07) for each scenario of the system model. Published by Elsevier Ltd. 2023-01 2022-10-31 /pmc/articles/PMC9618448/ /pubmed/36339085 http://dx.doi.org/10.1016/j.enganabound.2022.10.033 Text en © 2022 Published by Elsevier Ltd. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Sabir, Zulqurnain
Asmara, Adi
Dehraj, Sanaullah
Raja, Muhammad Asif Zahoor
Altamirano, Gilder Cieza
Salahshour, Soheil
Sadat, R.
Ali, Mohamed R.
A mathematical model of coronavirus transmission by using the heuristic computing neural networks
title A mathematical model of coronavirus transmission by using the heuristic computing neural networks
title_full A mathematical model of coronavirus transmission by using the heuristic computing neural networks
title_fullStr A mathematical model of coronavirus transmission by using the heuristic computing neural networks
title_full_unstemmed A mathematical model of coronavirus transmission by using the heuristic computing neural networks
title_short A mathematical model of coronavirus transmission by using the heuristic computing neural networks
title_sort mathematical model of coronavirus transmission by using the heuristic computing neural networks
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9618448/
https://www.ncbi.nlm.nih.gov/pubmed/36339085
http://dx.doi.org/10.1016/j.enganabound.2022.10.033
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