A multistage variational iteration method for approximate-analytic solution of avian-human influenza epidemic model

被引:0
作者
Gokdogan, Ahmet [1 ]
Merdan, Mehmet [1 ]
Erturk, Vedat Suat [2 ]
机构
[1] Gumushane Univ, Dept Engn Math, TR-29100 Gumushane, Turkey
[2] Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, TR-55139 Samsun, Turkey
来源
KUWAIT JOURNAL OF SCIENCE & ENGINEERING | 2012年 / 39卷 / 2A期
关键词
Avian-human influenza epidemic model; variational iteration method; numerical solution; ASYMPTOTIC METHODS; EQUATIONS; SYSTEM;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, the approximate solution of avian-human influenza epidemic model is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which is called the multi-stage variational iteration method (MVIM). A comparison between MVIM and the Runge-Kutta method (RK-method) reveals that the proposed technique is a promising tool to solve the considered problem.
引用
收藏
页码:57 / 67
页数:11
相关论文
共 18 条
[1]   Numerical solution of sine-Gordon equation by variational iteration method [J].
Batiha, B. ;
Noorani, M. S. M. ;
Hashim, I. .
PHYSICS LETTERS A, 2007, 370 (5-6) :437-440
[2]   Application of variational iteration method to heat-and wave-like equations [J].
Batiha, B. ;
Noorani, M. S. M. ;
Hashim, I. .
PHYSICS LETTERS A, 2007, 369 (1-2) :55-61
[3]  
Batiha B., 2007, PHYS SCR, V76, P1
[4]   Introducing variational iteration method to a biochemical reaction model [J].
Goh, S. M. ;
Noorani, M. S. M. ;
Hashim, I. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :2264-2272
[5]  
Goh SM, 2009, INT J NONLIN SCI NUM, V10, P363
[6]   Dynamics of the Hantavirus infection through variational iteration method [J].
Goh, S. M. ;
Ismail, A. I. M. ;
Noorani, M. S. M. ;
Hashim, I. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (04) :2171-2176
[7]   Efficacy of variational iteration method for chaotic Genesio system - Classical and multistage approach [J].
Goh, S. M. ;
Noorani, M. S. M. ;
Hashim, I. .
CHAOS SOLITONS & FRACTALS, 2009, 40 (05) :2152-2159
[8]   Prescribing a multistage analytical method to a prey-predator dynamical system [J].
Goh, S. M. ;
Noorani, M. S. M. ;
Hashim, I. .
PHYSICS LETTERS A, 2008, 373 (01) :107-110
[9]  
He J.-H., 2010, Nonlinear Sci. Lett. A, V1, P1
[10]   Approximate solution of nonlinear differential equations with convolution product nonlinearities [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (1-2) :69-73