Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment

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Journal of New Theory
Issue:21
Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment

Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment

Authors : Virendra Kumar GUPTA, Sandeep Kumar TİWARİ, Shivram SHARMA, Lakhan NAGAR

Pages : 94-106

View : 26 | Download : 6

Publication Date : 2018-02-27

Article Type : Research Paper

Abstract :This study proposed a mathematical model of tuberculosis with drug resistance to a first and second line of treatment. The basic reproduction number for the model using next generation method is obtained. The equilibrium point of the model was investigated and also found the global stability of the disease free equilibrium and endemic equilibrium for the model. This study shows the effect of resistance rate of the first and second line of treatment to the infected and resistant population. If basic reproduction number is less than one, the disease free equilibrium is globally asymptotically stable and if basic reproduction number is greater than one, then the endemic equilibrium is a globally asymptotically stable.
Keywords : Tuberculosis, Mycobacterium tuberculosis bacteria, Mtb, developed multi drug resistant, MDR, Basic reproduction number, Stability

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