Prescribing a multistage analytical method to a prey–predator dynamical system

Abstract

This article discusses the effectiveness of a fresh analytical method in solving a prey–predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge–Kutta (RK4) (fourth-order).