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

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dc.contributor.authorAyinla, Ally Yeketi
dc.contributor.authorOthman, Wan Ainun Mior
dc.date.accessioned2023-05-09T14:21:51Z
dc.date.available2023-05-09T14:21:51Z
dc.date.issued2019
dc.description.abstractThis 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, R_0 is less than unity (R_0< 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 (R_0< 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.en_US
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/20.500.12484/9812
dc.language.isoenen_US
dc.publisherInternational Journal of Mathematics and Computer Scienceen_US
dc.relation.ispartofseries14;3
dc.subjectMultidrug-resistant TB, quarantine, Lyapunov function, global stabilityen_US
dc.titleA compartmental model on the effect of quarantine on MDR-TBen_US
dc.typeArticleen_US

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