Dynamics of the Hantavirus infection through variational iteration method

被引：22

作者：

Goh, S. M. ^{[1
]}

Ismail, A. I. M. ^{[2
]}

Noorani, M. S. M.

Hashim, I. ^{[3
]}

机构：

[1] Univ Tenaga Nas, Coll Engn, Dept Engn Sci & Math, Kajang 43009, Selangor, Malaysia

[2] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia

[3] Univ Kebangsaan Malaysia, Coll Engn, Bangi Selangor 43600, Malaysia

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 04期

关键词：

Variational iteration method; Hantavirus infection model; Fourth-order Runge-Kutta method; ADOMIAN DECOMPOSITION METHOD; DIFFERENTIAL-EQUATIONS; NUMERICAL-SIMULATION; ACCURACY; SYSTEMS; BURGERS; KDV;

D O I：

10.1016/j.nonrwa.2008.03.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the dynamics of the Hantavirus infection model, which was originally developed by Abramson and Kenkre [G. Abramson, V.M. Kenkre, Spatiotemporal patterns in the hantavirus infection, Phys. Rev. E 66 (2002) 011912], by using a simple analytical method called the variational iteration method or VIM. The results obtained by the variational iteration method are compared with the classical Runge-Kutta method (fourth-order) to gauge its effectiveness. Numerical values from these analyses provide us with some useful observation on the behaviour of the infection subjected to certain conditions. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2171 / 2176

页数：6

共 26 条

[11] Approximate analytical solution for seepage flow with fractional derivatives in porous media
He, JH
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) : 57 - 68
[12] He JH., 2006, dissertation
[13] Variational iteration method - Some recent results and new interpretations
He, Ji-Huan
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) : 3 - 17
[14] Some asymptotic methods for strongly nonlinear equations
He, Ji-Huan
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (10): : 1141 - 1199
[15] Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method
Inc, Mustafa
[J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (04) : 1075 - 1081
[16] Inokuti M., 1978, Variational Method in the Mechanics of Solids, V33, P156
[17] Long-term studies of hantavirus reservoir populations in the southwestern United States: A synthesis
Mills, JN
Ksiazek, TG
Peters, CJ
Childs, JE
[J]. EMERGING INFECTIOUS DISEASES, 1999, 5 (01) : 135 - 142
[18] Variational iteration method for solving generalized Burger-Fisher and Burger equations
Moghimi, Mahdi
Hejazi, Fatemeh S. A.
[J]. CHAOS SOLITONS & FRACTALS, 2007, 33 (05) : 1756 - 1761
[19] Application of He's variational iteration method to Helmholtz equation
Momani, S
Abuasad, S
[J]. CHAOS SOLITONS & FRACTALS, 2006, 27 (05) : 1119 - 1123
[20] Numerical comparison of methods for solving linear differential equations of fractional order
Momani, Shaher
Odibat, Zaid
[J]. CHAOS SOLITONS & FRACTALS, 2007, 31 (05) : 1248 - 1255

← 1 2 3 →