APPROXIMATE ANALYTICAL SOLUTION FOR SIR MODEL OF DENGUE DISEASE IN SOUTH SULAWESI USING HOMOTOPY ANALYSIS AND ITERATION VARIATION METHOD

Rangkuti, Yulita Molliq and Side, Syarifuddin (2014) APPROXIMATE ANALYTICAL SOLUTION FOR SIR MODEL OF DENGUE DISEASE IN SOUTH SULAWESI USING HOMOTOPY ANALYSIS AND ITERATION VARIATION METHOD. In: International Conference on Mathematics, Sciences, Technology, Education and Their Applications (ICMSTEA) 2014, 20-21 Aug 2014, Makassar.

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Abstract

Model Susceptible-Infected-Recovered (SIR) of the dengue disease are considered in this article. Analytical methods for the numerical iteration method namely variations (MIV) and the homotopy analysis method (MAH) is applied to solve the SIR model of dengue disease. Lagrange coefficients sought then used in MIV and additional parameters in homotopy theory in MAH. Schema of these methods is very easy to use and also produces a convergent series so that near to actual solution when compared to traditional methods. The results obtained, MIV more accurate representation of MAH for a time interval t ≤ 9 when compared with actual data and RK4 method. MIV can be an alternative method for the answers SIR model or other nonlinear systems.

Item Type: Conference or Workshop Item (Paper)
Keywords: Variation iteration method; Homotopy perturbation method; Lagrange coefficients
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
R Medicine > RA Public aspects of medicine > RA643 Disease (Communicable and noninfectious) and public health
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: Mrs Harly Christy Siagian
Date Deposited: 28 Jun 2016 03:57
URI: http://digilib.unimed.ac.id/id/eprint/6050

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