Stochastic Investigations for the Fractional Vector-Host Diseased Based Saturated Function of Treatment Model

Abstract

The goal of this research is to introduce the simulation studies of the vector-host disease nonlinear system (VHDNS) along with the numerical treatment of artificial neural networks (ANNs) techniques supported by Levenberg-Marquardt backpropagation (LMQBP), known as ANNs-LMQBP. This mechanism is physically appropriate, where the number of infected people is increasing along with the limited health services. Furthermore, the biological effects have fading memories and exhibit transition behavior. Initially, the model is developed by considering the two and three categories for the humans and the vector species. The VHDNS is constructed with five classes, susceptible humans S h (t), infected humans I h (t), recovered humans R h (t), infected vectors I v (t) , and susceptible vector S v (t) based system of the fractional-order nonlinear ordinary differential equations. To solve the number of variations of the VHDNS, the numerical simulations are performed using the stochastic ANNs-LMQBP. The achieved numerical solutions for solving the VHDNS using the stochastic ANNs-LMQBP have been described for training, verifying, and testing data to decrease the mean square error (MSE). An extensive analysis is provided using the correlation studies, MSE, error histograms (EHs), state transitions (STs), and regression to observe the accuracy, efficiency, expertise, and aptitude of the computing ANNs-LMQBP.

A neural network computational structure for the fractional order breast cancer model

“…The stochastic process has been derived before to solve various kind of the mathematical model, but the solutions of the FKBC model have been presented first time with the implementation of this scheme. Currently, the neural network-based procedures have been used to solve functional form of singular models 29 , hepatitis virus models 30 , bone remodeling model 31 , fractional vector-host diseased model 32 , SIRC epidemic model 33 , Zika virus model 34 , breathing transmission system 35 , thermal explosion model 36 , Rabinovich–Fabrikant system 37 , Layla and Majnun model 38 and food chain model 39 .…”