TITLE

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)

AUTHOR(S)
Rohaeti, Embay; Wardatun, Sri; Andriyati, Ani
PUB. DATE
November 2015
SOURCE
Far East Journal of Mathematical Sciences;Nov2015, Vol. 98 Issue 6, p769
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Synthetic drugs that commonly used for healing tuberculosis disease are: isoniazid, rifampicin, ethambutol and pyrazinamide. Healing tuberculosis disease takes a very long time usually from 6 until 9 months. Besides that, patients also need to pay a lot of money for the treatments. Moreover, tuberculosis can lead to death if the patients did not aware of the disease. Therefore, the spreading of tuberculosis disease needs to be controlled. Nowadays, 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 constructed, we analyze the model analytically by defining the compartments of the model, the system of differential equations of the 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 analyze the fixed points with respect to Routh-Hurwitz criterion, then we compute the basic reproduction number to give us the information about the spreading level of tuberculosis disease. The output of 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. Furthermore, we can prevent tuberculosis as an endemic disease in the future.
ACCESSION #
111174847

 

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