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

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Author(s): A. Sami Bataineh | M. S. M. Noorani | I. Hashim

Journal: Differential Equations and Nonlinear Mechanics
ISSN 1687-4099

Volume: 2008;
Date: 2008;
Original page

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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