Application of homotopy-perturbation method to nonlinear population dynamics models

M. S.H. Chowdhury; I. Hashim; O. Abdulaziz

doi:10.1016/j.physleta.2007.04.007

Application of homotopy-perturbation method to nonlinear population dynamics models

M. S.H. Chowdhury
, I. Hashim
, O. Abdulaziz

Universiti Kebangsaan Malaysia

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

41 Scopus citations

Abstract

In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate series solutions of nonlinear population dynamics models. The nonlinear models considered are the multispecies Lotka-Volterra equations. The accuracy of this method is examined by comparison with the available exact and the fourth-order Runge-Kutta method (RK4).

Original language	English
Pages (from-to)	251-258
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	368
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physleta.2007.04.007
State	Published - 20 Aug 2007
Externally published	Yes

Keywords

Fourth-order Runge-Kutta method
Homotopy-perturbation method
Lotka-Volterra equations

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10.1016/j.physleta.2007.04.007

Cite this

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title = "Application of homotopy-perturbation method to nonlinear population dynamics models",

abstract = "In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate series solutions of nonlinear population dynamics models. The nonlinear models considered are the multispecies Lotka-Volterra equations. The accuracy of this method is examined by comparison with the available exact and the fourth-order Runge-Kutta method (RK4).",

keywords = "Fourth-order Runge-Kutta method, Homotopy-perturbation method, Lotka-Volterra equations",

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AU - Chowdhury, M. S.H.

AU - Hashim, I.

AU - Abdulaziz, O.

PY - 2007/8/20

Y1 - 2007/8/20

N2 - In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate series solutions of nonlinear population dynamics models. The nonlinear models considered are the multispecies Lotka-Volterra equations. The accuracy of this method is examined by comparison with the available exact and the fourth-order Runge-Kutta method (RK4).

AB - In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate series solutions of nonlinear population dynamics models. The nonlinear models considered are the multispecies Lotka-Volterra equations. The accuracy of this method is examined by comparison with the available exact and the fourth-order Runge-Kutta method (RK4).

KW - Fourth-order Runge-Kutta method

KW - Homotopy-perturbation method

KW - Lotka-Volterra equations

UR - https://www.scopus.com/pages/publications/34547666881

U2 - 10.1016/j.physleta.2007.04.007

DO - 10.1016/j.physleta.2007.04.007

M3 - Article

AN - SCOPUS:34547666881

SN - 0375-9601

VL - 368

SP - 251

EP - 258

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -

Application of homotopy-perturbation method to nonlinear population dynamics models

Abstract

Keywords

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