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.
Citation
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
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