Embay Rohaeti, Sri Wardatun, Ani Andriyati

Judul	:	The Effect of Combining Herbal and Synthetic Medicines on Stability Analysis of Tuberculosis Spreading Disease Model (Case Study: Tuberculosis in Bogor Region, West Java, Indonesia)
Abstrak	:	Synthetic drugs that commonly used for healingtuberculosis disease are: isoniazid, rifampicin, ethambutol and pyrazinamide. Healing tuberculosis disease take a very long time usually from 6 until 9 months. Beside that, patients also need to pay a lot of money for treatments. Moreovers, tuberculosis can lead to death if the patients did not aware of the disease. Therefore, the spreading of tuberculosis disease needs to be controlled. Nowdays. many people tend to have natural medicine (herbal medicine) because it is believed that  taking additional herbal medicine can decrease the recovery time and also can increase immune system of the body. In this paper, we present the effect of combining herbal and synthetic medicines in the SIR model of tuberculosis disease. The idea is to add an additional parameter corresponding to the herbal medicine onto the underlying SIR (Susceptible, infected, recovered) model for the tuberculosis disease. After the model has been contructed, we analyze the model analytically by deffinig the compatrments of the model, the system of differential equations of model, some assumption to the model. After the model has been defined completely, we search for fixed points, eigenvalues and eigenvector for the model. Finally, we alayzed the fixed points with respect to Routh-Hurwitz criterion, the we compute the basic reproduction number to give us the information about the spreading level of tuberculusis disease. The output this research is an SIR model of tuberculosis spreading disease with additional parameter, namely, herbal medicine. We hope this model can be used to predict and also to control the tuberculosis  disease in the society. Futrhermore, we can prevent tuberculosis as an andemic disease in the future
Tahun	:	2015	Media Publikasi	:	Jurnal Internasional
Kategori	:	Jurnal	No/Vol/Tahun	:	6 / 98 / 2015
ISSN/ISBN	:	0972-0871
PTN/S	:	Universitas Pakuan	Program Studi	:	MATEMATIKA
Bibliography	:	[1] C. castilo-chavez and B.Song, An overview of dynamical model of tuberculosis, Technical Report os BSBC, cornell University, ithaca, 2002 [2]M. Girsang, Sumantri, P. Yulianti, Noerendah and Gendrowahyuno, Quality Control TB Microscopic Examination at the microscopic health center, Reseach Report, Reseach and Development of Disease Control, NIHRD, 2002.
URL	:	file:///D:/FJMSNov2015_769_775%20(1)%20(1).pdf