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2008 Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method
A. Sami Bataineh, M. S. M. Noorani, I. Hashim
Differ. Equ. Nonlinear Mech. 2008: 1-14 (2008). DOI: 10.1155/2008/816787

Abstract

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.

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A. Sami Bataineh. M. S. M. Noorani. I. Hashim. "Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method." Differ. Equ. Nonlinear Mech. 2008 1 - 14, 2008. https://doi.org/10.1155/2008/816787

Information

Received: 9 May 2008; Accepted: 2 July 2008; Published: 2008
First available in Project Euclid: 26 January 2017

zbMATH: 1160.34302
Digital Object Identifier: 10.1155/2008/816787

Rights: Copyright © 2008 Hindawi

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