Year 2018, Volume , Issue 21, Pages 94 - 106 2018-02-27

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

Virendra Kumar GUPTA [1] , Sandeep Kumar TİWARİ [2] , Shivram SHARMA [3] , Lakhan NAGAR [4]


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. 

Tuberculosis, Mycobacterium tuberculosis bacteria, Mtb, , developed multi-drug resistant, MDR, , Basic reproduction number, Stability
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Primary Language en
Subjects Engineering
Journal Section Research Article
Authors

Author: Virendra Kumar GUPTA

Author: Sandeep Kumar TİWARİ

Author: Shivram SHARMA

Author: Lakhan NAGAR

Dates

Publication Date : February 27, 2018

Bibtex @research article { jnt409829, journal = {Journal of New Theory}, issn = {2149-1402}, eissn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2018}, volume = {}, pages = {94 - 106}, doi = {}, title = {Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment}, key = {cite}, author = {GUPTA, Virendra Kumar and TİWARİ, Sandeep Kumar and SHARMA, Shivram and NAGAR, Lakhan} }
APA GUPTA, V , TİWARİ, S , SHARMA, S , NAGAR, L . (2018). Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment. Journal of New Theory , (21) , 94-106 . Retrieved from https://dergipark.org.tr/en/pub/jnt/issue/35754/409829
MLA GUPTA, V , TİWARİ, S , SHARMA, S , NAGAR, L . "Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment". Journal of New Theory (2018 ): 94-106 <https://dergipark.org.tr/en/pub/jnt/issue/35754/409829>
Chicago GUPTA, V , TİWARİ, S , SHARMA, S , NAGAR, L . "Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment". Journal of New Theory (2018 ): 94-106
RIS TY - JOUR T1 - Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment AU - Virendra Kumar GUPTA , Sandeep Kumar TİWARİ , Shivram SHARMA , Lakhan NAGAR Y1 - 2018 PY - 2018 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 94 EP - 106 VL - IS - 21 SN - 2149-1402-2149-1402 M3 - UR - Y2 - 2018 ER -
EndNote %0 Journal of New Theory Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment %A Virendra Kumar GUPTA , Sandeep Kumar TİWARİ , Shivram SHARMA , Lakhan NAGAR %T Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment %D 2018 %J Journal of New Theory %P 2149-1402-2149-1402 %V %N 21 %R %U
ISNAD GUPTA, Virendra Kumar , TİWARİ, Sandeep Kumar , SHARMA, Shivram , NAGAR, Lakhan . "Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment". Journal of New Theory / 21 (February 2018): 94-106 .
AMA GUPTA V , TİWARİ S , SHARMA S , NAGAR L . Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment. JNT. 2018; (21): 94-106.
Vancouver GUPTA V , TİWARİ S , SHARMA S , NAGAR L . Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment. Journal of New Theory. 2018; (21): 106-94.