Prescribing a multistage analytical method to a prey-predator dynamical system

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Abstract

This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order).

Original languageEnglish
Pages (from-to)107-110
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume373
Issue number1
DOIs
Publication statusPublished - 22 Dec 2008

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predators
dynamical systems
iteration
Runge-Kutta method
differential equations

Keywords

  • Fourth-order Runge-Kutta method
  • Prey-predator model
  • Variational iteration method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Prescribing a multistage analytical method to a prey-predator dynamical system",
abstract = "This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order).",
keywords = "Fourth-order Runge-Kutta method, Prey-predator model, Variational iteration method",
author = "Goh, {S. M.} and {Md. Noorani}, {Mohd. Salmi} and Ishak Hashim",
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AU - Goh, S. M.

AU - Md. Noorani, Mohd. Salmi

AU - Hashim, Ishak

PY - 2008/12/22

Y1 - 2008/12/22

N2 - This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order).

AB - This article discusses the effectiveness of a fresh analytical method in solving a prey-predator problem, which is described as a system of two nonlinear ordinary differential equations. The method of interest is the multistage variational iteration method (MVIM), which provides a slight modification of the classical variational iteration method (VIM). We shall compare solutions of the classical VIM along with MVIM and match them against the conventional numerical method, Runge-Kutta (RK4) (fourth-order).

KW - Fourth-order Runge-Kutta method

KW - Prey-predator model

KW - Variational iteration method

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

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