Differential Equations and Nonlinear Mechanics
Volume 2008 (2008), Article ID 816787, 14 pages
Research Article

Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method

A. Sami Bataineh, M. S. M. Noorani, and I. Hashim

School of Mathematical Sciences, Faculty of Science and Tecnology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia

Received 9 May 2008; Accepted 2 July 2008

Academic Editor: Yong Zhou

Copyright © 2008 A. Sami Bataineh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopy analysis method (HAM). The continuous solution for the nonlinear system is given, which provides a convenient and straightforward approach to calculate the dynamics of the system. The HAM continuous solution generated by polynomial base functions is of comparable accuracy to the purely numerical fourth-order Runge-Kutta method. The convergence theorem for the three-dimensional case is also given.