Series solution of the multispecies Lotka-Volterra equations by means of the homotopy analysis method

I. Hashim; A. Sami Bataineh; M. S.M. Noorani

doi:10.1155/2008/816787

Series solution of the multispecies Lotka-Volterra equations by means of the homotopy analysis method

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

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopyanalysis method (HAM). The continuous solution for the nonlinear system is given, whichprovides a convenient and straightforward approach to calculate the dynamics of the system.The HAM continuous solution generated by polynomial base functions is of comparable accuracyto the purely numerical fourth-order Runge-Kutta method. The convergence theorem forthe three-dimensional case is also given.

Original language	English
Article number	816787
Journal	Differential Equations and Nonlinear Mechanics
Volume	2008
DOIs	https://doi.org/10.1155/2008/816787
State	Published - 2008
Externally published	Yes

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title = "Series solution of the multispecies Lotka-Volterra equations by means of the homotopy analysis method",

abstract = "The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopyanalysis method (HAM). The continuous solution for the nonlinear system is given, whichprovides a convenient and straightforward approach to calculate the dynamics of the system.The HAM continuous solution generated by polynomial base functions is of comparable accuracyto the purely numerical fourth-order Runge-Kutta method. The convergence theorem forthe three-dimensional case is also given.",

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journal = "Differential Equations and Nonlinear Mechanics",

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AU - Hashim, I.

AU - Sami Bataineh, A.

AU - Noorani, M. S.M.

PY - 2008

Y1 - 2008

N2 - The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopyanalysis method (HAM). The continuous solution for the nonlinear system is given, whichprovides a convenient and straightforward approach to calculate the dynamics of the system.The HAM continuous solution generated by polynomial base functions is of comparable accuracyto the purely numerical fourth-order Runge-Kutta method. The convergence theorem forthe three-dimensional case is also given.

AB - The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopyanalysis method (HAM). The continuous solution for the nonlinear system is given, whichprovides a convenient and straightforward approach to calculate the dynamics of the system.The HAM continuous solution generated by polynomial base functions is of comparable accuracyto the purely numerical fourth-order Runge-Kutta method. The convergence theorem forthe three-dimensional case is also given.

UR - https://www.scopus.com/pages/publications/49749131979

U2 - 10.1155/2008/816787

DO - 10.1155/2008/816787

M3 - Article

AN - SCOPUS:49749131979

SN - 1687-4099

VL - 2008

JO - Differential Equations and Nonlinear Mechanics

JF - Differential Equations and Nonlinear Mechanics

M1 - 816787

ER -

Series solution of the multispecies Lotka-Volterra equations by means of the homotopy analysis method

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