An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method

Chowdhury, Md. Sazzad Hossien and Rahman, M. M. (2011) An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method. In: The International Conference on Mathematical and Computational Biology 2011 (ICMCB2011), 12-14 April, 2011, Melaka, malaysia.

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Abstract

In this paper, we suggest a method to solve the multispecies Lotka-Voltera equations. The suggested method, which we call modified homotopy perturbation method, can be considered as an extension of the homotopy perturbation method (HPM) which is very efficient in solving a varety of differential and algebraic equations. The HPM is modified in order to obtain the approximate solutions of Lotka-Voltera equation response in a sequence of time intervals. In particular, the example of two species is considered. The accuracy of this method is examined by comparison with the numerical solution of the Runge-Kutta-Verner method. The results prove that the modi¯ed HPM is a powerful tool for the solution of nonlinear equations.

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	All contributed papers will be refereed and the proceedings of ICMCB 2011 will be published online in International Journal of Modern Physics Conference Series by World Scientific Publishing
Uncontrolled Keywords:	Homotopy-perturbation method; Lotka-Volterra systems; Long term behavior; Adomian decomposition method.
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	20 Sep 2011 17:24
Last Modified:	03 May 2012 15:25
URI:	http://irep.iium.edu.my/id/eprint/2236

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