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

• Main Authors: Goh S.M., Noorani M.S.M., Hashim I.
• Other Authors: 25521891600
• Format: Article
• Published: Elsevier 2023
• Subjects: Fourth-order Runge-Kutta method; Prey-predator model; Variational iteration method; Dynamical systems; Iterative methods; Nonlinear equations; Numerical methods; Ordinary differential equations; Predator prey systems; Analytical method; Fourth order; Fourth order Runge-Kutta methods; Nonlinear ordinary differential equation; Prey-predator; Prey-predator models; Runge Kutta methods
• Institution: Universiti Tenaga Nasional

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). � 2008.