Research Article

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

Number: 21 February 27, 2018
Virendra Kumar Gupta , Sandeep Kumar Tiwari , Shivram Sharma , Lakhan Nagar
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Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment

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

References

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  9. [9] S. Sharma, V.H. Badshah, and V.K. Gupta, (2017), Analysis of a SIRI Epidemic Model with Modified Nonlinear incidence Rate and Latent Period, Asian journal of Mathematics and statistics, 10: 1-12.
  10. [10] T. M. Daniel, (2006), History of Tuberculosis, Respiratory Medicine, 100: 1862-1870.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Virendra Kumar Gupta This is me

Sandeep Kumar Tiwari This is me

Lakhan Nagar This is me

Publication Date

February 27, 2018

Submission Date

February 11, 2018

Acceptance Date

March 23, 2018

Published in Issue

Year 2018 Number: 21

IZ

https://izlik.org/JA65HC97SA

Cite

RIS / Bibtex
APA
Gupta, V. K., Tiwari, S. K., 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. https://izlik.org/JA65HC97SA
AMA
1.Gupta VK, Tiwari SK, Sharma S, Nagar L. Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment. JNT. 2018;(21):94-106. https://izlik.org/JA65HC97SA
Chicago
Gupta, Virendra Kumar, Sandeep Kumar Tiwari, Shivram Sharma, and Lakhan Nagar. 2018. “Mathematical Model of Tuberculosis With Drug Resistance to the First and Second Line of Treatment”. Journal of New Theory, nos. 21: 94-106. https://izlik.org/JA65HC97SA.
EndNote
Gupta VK, Tiwari SK, Sharma S, Nagar L (February 1, 2018) Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment. Journal of New Theory 21 94–106.
IEEE
[1]V. K. Gupta, S. K. Tiwari, S. Sharma, and L. Nagar, “Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment”, JNT, no. 21, pp. 94–106, Feb. 2018, [Online]. Available: https://izlik.org/JA65HC97SA
ISNAD
Gupta, Virendra Kumar - Tiwari, 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 1, 2018): 94-106. https://izlik.org/JA65HC97SA.
JAMA
1.Gupta VK, Tiwari SK, Sharma S, Nagar L. Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment. JNT. 2018;:94–106.
MLA
Gupta, Virendra Kumar, et al. “Mathematical Model of Tuberculosis With Drug Resistance to the First and Second Line of Treatment”. Journal of New Theory, no. 21, Feb. 2018, pp. 94-106, https://izlik.org/JA65HC97SA.
Vancouver
1.Virendra Kumar Gupta, Sandeep Kumar Tiwari, Shivram Sharma, Lakhan Nagar. Mathematical Model of Tuberculosis with Drug Resistance to the First and Second Line of Treatment. JNT [Internet]. 2018 Feb. 1;(21):94-106. Available from: https://izlik.org/JA65HC97SA

 

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