A compartmental model on the effect of quarantine on MDR-TB

Yeketi, Ayinla Ally and Othman, Wan Ainun Mior (2019) A compartmental model on the effect of quarantine on MDR-TB. International Journal of Innovative Technology and Exploring Engineering, 8 (6S4). pp. 393-396. ISSN 2278-3075

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Official URL: https://doi.org/10.35940/ijitee.F1079.0486S419

Abstract

This paper presents a five compartmental deterministic model to study the effect of quarantine in managing multidrug-resistant tuberculosis (MDR-TB). We established that the model exhibits two equilibria; disease free equilibrium (DFE) and endemic equilibrium point (EEP). The DFE was shown to be locally asymptotically stable when the basic reproduction number, R0 is less than unity (R0 < 1). The global stability of both the DFE and EEP were established with the aid of constructed Lyapunov functions. We proved that the model undergoes backward bifurcation, which gives direction to the medical experts that keeping the basic reproduction number less than unity (R0 < 1) is not enough to curtail the spread of the infection but rather think of other measures. The numerical simulation done gives a pictorial representation of the impact of quarantine in managing MDR-TB as it helps in reducing the disease incidence. © 2019, Badih/Ghusayni, Ed. & Pub.

Item Type: Article
Uncontrolled Keywords: Global stability; Lyapunov function; Multidrug-Resistant TB (MDR-TB); Quarantine
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 27 Nov 2019 01:52
Last Modified: 27 Nov 2019 01:52
URI: http://eprints.um.edu.my/id/eprint/23100

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