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

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 g...

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Bibliographic Details
Main Authors: A. Sami Bataineh, M. S. M. Noorani, I. Hashim
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published: 2008
Subjects:
sami
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.7593
http://www.mat.ub.edu/EMIS/journals/HOA/DENM/Volume2008/816787.pdf
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Summary: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. Copyright q 2008 A. Sami Bataineh et al. 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. 1.

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