Numerical solutions of the Wolbachia invasive model using Levenberg-Marquardt backpropagation neural network technique

•Numerical solutions of the Wolbachia invasive model (WIM),•The neural network Levenberg-Marquardt (NN-LM) backpropagation technique,•The dynamics of the Wolbachia model is categorized into four classes,•Wolbachia-uninfected aquatic mosquitoes (An∗),•Wolbachia-uninfected adult female mosquitoes (Fn∗),•Wolbachia-infected aquatic mosquitoes (Aw∗),•Wolbachia-infected adult female mosquitoes (Fw∗).•The Runge-Kutta (RK) numerical method.