International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2570

Full Length Research Paper

A numeric-analytic method for approximating three-species food chain models

M. Merdan1*, A. Gokdogan2 and V.S. Erturk3
  1GümüÅŸhane University, Department of Mathematics Engineering, 29100, GümüÅŸhane, Turkey. 2GümüÅŸhane University, Department of Mathematics Engineering, 29100, GümüÅŸhane, Turkey. 3Ondokuz Mayıs University, Deparment of Mathematics, 55000, Samsun, Turkey.
Email: [email protected]

  •  Accepted: 29 March 2011
  •  Published: 04 April 2011

Abstract

 

This paper investigates the accuracy of the differential transformation method (DTM) for solving the three-species food chain models which is described as three-dimensional system of ODES with quadratic and rational nonlinearities. Numerical results are compared to those obtained by the fourth-order Runge-Kutta method to illustrate the preciseness and effectiveness of the proposed method. The direct symbolic-numeric scheme is indicated to be efficient and accurate.

 

Key words: Three-species food chain models, multi-step differential transformation method, attractors.