Supervised neural learning for the predator-prey delay differential system of Holling form-III

AIMS Mathematics

article

Zulqurnain Sabir¹  Salem Ben Said¹  Muhammad Asif Zahoor Raja³  Saira Bhatti⁴  Wajaree Weera⁵  Thongchai Botmart⁵  Naret Ruttanaprommarin⁶ 

[1] Department of Mathematical Sciences, United Arab Emirates University;Department of Mathematics, Hazara University;Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3;Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus;Department of Mathematics, Faculty of Science, Khon Kaen University;Department of Science and Mathematics, Faculty of Industry and Technology, Rajamangala University of Technology Isan Sakonnakhon Campus

关键词: time delay;    Holling form-III;    mathematical system;    artificial neural networks;    scaled conjugate gradient;   

DOI  :  10.3934/math.20221101

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY