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Research Article | Open Access

A scale conjugate neural network learning process for the nonlinear malaria disease model

Manal Alqhtani1J.F. Gómez-Aguilar2( )Khaled M. Saad1Zulqurnain Sabir3,4Eduardo Pérez-Careta5
Department of Mathematics, College of Sciences and Arts, Najran University, Najran, Kingdom of Saudi Arabia
CONACyT–Tecnológico Nacional de México/CENIDET. Interior Internado Palmira S/N, Col. Palmira, Cuernavaca Morelos C.P. 62490, México
Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan
Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Universidad de Guanajuato, Dpto. Electrónica, Carretera Salamanca-Valle de Santiago, Km 3+1.8, Salamanca Gto, México
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Abstract

The purpose of this work is to provide a stochastic framework based on the scale conjugate gradient neural networks (SCJGNNs) for solving the malaria disease model of pesticides and medication (MDMPM). The host and vector populations are divided in the mathematical form of the malaria through the pesticides and medication. The stochastic SCJGNNs procedure has been presented through the supervised neural networks based on the statics of validation (12%), testing (10%), and training (78%) for solving the MDMPM. The optimization is performed through the SCJGNN along with the log-sigmoid transfer function in the hidden layers along with fifteen numbers of neurons to solve the MDMPM. The accurateness and precision of the proposed SCJGNNs is observed through the comparison of obtained and source (Runge-Kutta) results, while the small calculated absolute error indicate the exactitude of designed framework based on the SCJGNNs. The reliability and consistency of the SCJGNNs is observed by using the process of correlation, histogram curves, regression, and function fitness.

CLC number: 68T07, 92B20, 65L06

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AIMS Mathematics
Pages 21106-21122

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Cite this article:
Alqhtani M, Gómez-Aguilar J, Saad KM, et al. A scale conjugate neural network learning process for the nonlinear malaria disease model. AIMS Mathematics, 2023, 8(9): 21106-21122. https://doi.org/10.3934/math.20231075

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Received: 15 March 2023
Revised: 25 May 2023
Accepted: 29 May 2023
Published: 15 September 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)