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

A. Sami Bataineh, Mohd Salmi Md Noorani, Ishak Hashim

Type: Article

Publication Date: 2008-01-01

Citations: 14

DOI: https://doi.org/10.1155/2008/816787

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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.

Locations

DOAJ (DOAJ: Directory of Open Access Journals) - View
International Journal of Differential Equations - View - PDF

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+	Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid	2004	Tasawar Hayat Masood Khan S. Asghar
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+	Homotopy perturbation method: a new nonlinear analytical technique	2002	Ji‐Huan He
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+	Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations	2007	M. Sajid Tasawar Hayat
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+	Exact flow of a third grade fluid past a porous plate using homotopy analysis method	2003	M. Ayub Amer Rasheed Tasawar Hayat
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