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

A. Sami Bataineh, M. S. M. Noorani and I. Hashim

International Journal of Differential Equations, 2008, vol. 2008, 1-14

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:816787

DOI: 10.1155/2008/816787

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