Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 842121, 10 pages
Research Article

Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations

1Faculty of Mechanical Engineering, Polytehnic University of Timişoara, Mihai Viteazu Avenue 1, 300222 Timişoara, Romania
2Center for Advanced and Fundamental Technical Research, Romanian Academy, Timişoara Branch, Mihai Viteazu Avenue 24, 300222 Timişoara, Romania

Received 15 August 2011; Accepted 19 November 2011

Academic Editor: Zengji Du

Copyright © 2012 Vasile Marinca and Nicolae Herişanu. 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.


We apply an analytical method called the Optimal Parametric Iteration Method (OPIM) to multispecies Lotka-Volterra equations. By using initial values, accurate explicit analytic solutions have been derived. The method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. An excellent agreement has been demonstrated between the obtained solutions and the numerical ones. This new approach, which can be easily applied to other strongly nonlinear problems, is very effective and yields very accurate results.