A Numerical Study of the Fractional Order Dynamical Nonlinear Susceptible Infected and Quarantine Differential Model Using the Stochastic Numerical Approach

The theme of this study is to present the impacts and importance fractional order derivatives susceptible, infected quarantine (SIQ) model based on coronavirus with lockdown effects. purpose these investigations achieve more accuracy use in SIQ model. integer, nonlinear mathematical system effects also provided study. are categorized into dynamics infective quarantine, generally known as system. has never been presented before, nor solved by using strength stochastic solvers. solvers Levenberg-Marquardt backpropagation scheme (LMBS) along neural networks (NNs), i.e., LMBS-NNs have implemented solve Three cases different values data numerical solutions selected 80% for training 10% both testing validation. For correctness LMBS-NNs, obtained results compared reference through Adams–Bashforth–Moulton solver. In authenticate competence, consistency, validity, capability exactness LMB-NNs, performances state transitions (STs), regression, correlation, mean square error (MSE) histograms (EHs) provided.