APPROXIMATE SOLUTION OF VACCINATION, SUSCEPTIBLE, EXPOSED, INFECTED, RECOVERED (VSEIR) MODEL OF TUBERCULOSIS IN NORTH SUMATERA INDONESIA

Rangkuti, Yulita Molliq and Sinaga, Marlina S. (2015) APPROXIMATE SOLUTION OF VACCINATION, SUSCEPTIBLE, EXPOSED, INFECTED, RECOVERED (VSEIR) MODEL OF TUBERCULOSIS IN NORTH SUMATERA INDONESIA. Malaysian Journal of Science, 34 (02). pp. 185-191. ISSN 13943065

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Abstract

In this paper, a vaccination susceptible exposed infected recovered VSEIR) model f o r tuberculosis in North Sumatera is discussed. The VSEIR model is formed by a system of nonlinear differential equations. The approximate solution of this model is obtained by using the step variational iteration method SVIM) variational iteration method VIM). VIM used the general Lagrange multiplier in the correction functional runs iteratively. SVIM also used the general Lagrange multipliers for construction of the correction functional for the problems, runs by step approach, the computation is done by dividing the interval into subintervals with time steps. The two methods are alternative methods to obtain the approximate solutions of the VSEIR model. Comparison is made with the conventional numerical method, the fourth-order Runge Kutta method RK4). From the results, the SVIM solution is more accurate than the VIM solution for long time interval when compared to RK4.

Item Type: Article
Keywords: Lagrange multiplier; Variational iteration method
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA273 Probabilities. Mathematical statistics
Q Science > QA Mathematics > QA299 Analysis
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: Mrs Harly Christy Siagian
Date Deposited: 24 Aug 2017 08:47
URI: http://digilib.unimed.ac.id/id/eprint/25901

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