%0 Journal Article
%T Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method
%A A. Sami Bataineh
%A M. S. M. Noorani
%A I. Hashim
%J International Journal of Differential Equations
%D 2008
%I Hindawi Publishing Corporation
%R 10.1155/2008/816787
%X 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.
%U http://www.hindawi.com/journals/ijde/2008/816787/