TY - JOUR
T1 - Supervised neural learning for the predator-prey delay differential system of Holling form-III
AU - Ruttanaprommarin, Naret
AU - Sabir, Zulqurnain
AU - Said, Salem Ben
AU - Raja, Muhammad Asif Zahoor
AU - Bhatti, Saira
AU - Weera, Wajaree
AU - Botmart, Thongchai
N1 - Publisher Copyright:
© 2022 the Author(s), licensee AIMS Press.
PY - 2022
Y1 - 2022
N2 - The purpose of this work is to present the stochastic computing study based on the artificial neural networks (ANNs) along with the scaled conjugate gradient (SCG), ANNs-SCG for solving the predator-prey delay differential system of Holling form-III. The mathematical form of the predator-prey delay differential system of Holling form-III is categorized into prey class, predator category and the recent past effects. Three variations of the predator-prey delay differential system of Holling form-III have been numerical stimulated by using the stochastic ANNs-SCG procedure. The selection of the data to solve the predator-prey delay differential system of Holling form-III is provided as 13%, 12% and 75% for testing, training, and substantiation together with 15 neurons. The correctness and exactness of the stochastic ANNs-SCG method is provided by using the comparison of the obtained and data-based reference solutions. The constancy, authentication, soundness, competence, and precision of the stochastic ANNs-SCG technique is performed through the analysis of the correlation measures, state transitions (STs), regression analysis, correlation, error histograms (EHs) and MSE.
AB - The purpose of this work is to present the stochastic computing study based on the artificial neural networks (ANNs) along with the scaled conjugate gradient (SCG), ANNs-SCG for solving the predator-prey delay differential system of Holling form-III. The mathematical form of the predator-prey delay differential system of Holling form-III is categorized into prey class, predator category and the recent past effects. Three variations of the predator-prey delay differential system of Holling form-III have been numerical stimulated by using the stochastic ANNs-SCG procedure. The selection of the data to solve the predator-prey delay differential system of Holling form-III is provided as 13%, 12% and 75% for testing, training, and substantiation together with 15 neurons. The correctness and exactness of the stochastic ANNs-SCG method is provided by using the comparison of the obtained and data-based reference solutions. The constancy, authentication, soundness, competence, and precision of the stochastic ANNs-SCG technique is performed through the analysis of the correlation measures, state transitions (STs), regression analysis, correlation, error histograms (EHs) and MSE.
KW - Holling form-III
KW - artificial neural networks
KW - mathematical system
KW - scaled conjugate gradient
KW - time delay
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U2 - 10.3934/math.20221101
DO - 10.3934/math.20221101
M3 - Article
AN - SCOPUS:85137994413
SN - 2473-6988
VL - 7
SP - 20126
EP - 20142
JO - AIMS Mathematics
JF - AIMS Mathematics
IS - 11
ER -