A VSEIR MODEL FOR TRANSMISSION OF TUBERCULOSIS (TB) DISEASE IN NORTH SUMATERA, INDONESIA

Rangkuti, Yulita Molliq and Sinaga, Marlina S. and Marpaung, Faridawaty and Side, Syarifuddin (2014) A VSEIR MODEL FOR TRANSMISSION OF TUBERCULOSIS (TB) DISEASE IN NORTH SUMATERA, INDONESIA. In: 3rd International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12-14 Aug 2014, Malaysia.

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Abstract

In this work, Vaccination (V), Susceptible (S), Infected (I), and Recovered (R) (VSIR) model for transmission of Tuberculosis in North Sumatera is modified. An exposed class is adopted to VSIR model so called VSEIR to determine the probability of people who infectious before infected. This model is written in ordinary differential equation (ODEs) in five classes. Determination the equilibrium point and stability analysis of the model is discussed to determine the dynamic behaviour of systems. A simulation is also discussed to see the suitable model to North Sumatera data. The simulation of VSEIR model indicates Tuberculosis has not endemic in North Sumatera.

Item Type: Conference or Workshop Item (Paper)
Keywords: Stability analysis; Equilibrium analysis; Tuberculosis; Vaccination; Susceptible; Infected; Recovered
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: 27 Jun 2016 08:00
URI: http://digilib.unimed.ac.id/id/eprint/6027

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