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 > QA75.5 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 |
| Last Modified: | 24 Aug 2017 04:51 |
| URI: | https://digilib.unimed.ac.id/id/eprint/6027 |
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