Research Article Open Access

Numerical Solutions of the Multispecies Predator-Prey Model by Variational Iteration Method

Khaled Batiha

Abstract

The main objective of the current work was to solve the multispecies predator-prey model. The techniques used here were called the variational iteration method (VIM) and the Adomian decomposition method (ADM). The advantage of this work is twofold. Firstly, the VIM reduces the computational work. Secondly, in comparison with existing techniques, the VIM is an improvement with regard to its accuracy and rapid convergence. The VIM has the advantage of being more concise for analytical and numerical purposes. Comparisons with the exact solution and the fourth-order Runge-Kutta method (RK4) show that the VIM is a powerful method for the solution of nonlinear equations.

Journal of Computer Science
Volume 3 No. 7, 2007, 523-527

DOI: https://doi.org/10.3844/jcssp.2007.523.527

Submitted On: 26 March 2007 Published On: 31 July 2007

How to Cite: Batiha, K. (2007). Numerical Solutions of the Multispecies Predator-Prey Model by Variational Iteration Method . Journal of Computer Science, 3(7), 523-527. https://doi.org/10.3844/jcssp.2007.523.527

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Keywords

  • Variational iteration method (VIM)
  • Adomian decomposition method (ADM)
  • fourthorder Runge-Kutta method (RK4)
  • multispecies predator-prey model