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

• Published in: Engineering analysis with boundary elements 2023-01, Vol.146, p.473-482
• Main Authors: Sabir, Zulqurnain, Asmara, Adi, Dehraj, Sanaullah, Raja, Muhammad Asif Zahoor, Altamirano, Gilder Cieza, Salahshour, Soheil, Sadat, R., Ali, Mohamed R.
• Format: Article
• Language: English
• Subjects: COVID-19; Nonlinear; Numerical results; Quarantine; Runge-Kutta scheme; Scaled conjugate gradient; SCGNNs
• ISSN: 0955-7997; 1873-197X; 0955-7997
• DOI: 10.1016/j.enganabound.2022.10.033

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 IA(t), symptomatic diseased IS(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.