Effect of mixed infection on TB dynamics

dc.contributor.authorSsebuliba, Doreen Mbabazi
dc.contributor.authorOuifki, Rachid
dc.contributor.emailrachid.ouifki@up.ac.zaen_ZA
dc.date.accessioned2020-02-03T07:22:51Z
dc.date.issued2019-07
dc.description.abstractPoor living conditions, overcrowding and strain diversity are some of the factors that influence mixed infection in Tuberculosis (TB) at the population level. We formulate a mathematical model for mixed infection in TB using nonlinear ordinary differential equations where such factors were represented as probabilities of acquiring mixed infection. A qualitative analysis of the model shows that it exhibits multiple endemic equilibria and backward bifurcation for certain parameter values. The reactivation rate and transmission rate of individuals with mixed infection were of importance as well as the probabilities for latent individuals to acquire mixed infection. We calculate the prevalence of mixed infection from the model and the effect of mixed infection on TB incidence, TB prevalence and Mycobacterium tuberculosis (MTB) infection rate. Numerical simulations show that mixed infection may explain high TB incidences in areas which have a high strain diversity, poor living conditions and are overcrowded even without HIV.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2020-07-01
dc.description.librarianhj2020en_ZA
dc.description.urihttps://www.worldscientific.com/worldscinet/ijben_ZA
dc.identifier.citationSsebuliba, D.M. & Ouifki, R. 2019, 'Effect of mixed infection on TB dynamics', International Journal of Biomathematics, vol. 12, no. 05, art. 1950061, pp. 1-24.en_ZA
dc.identifier.issn1793-5245 (print)
dc.identifier.issn1793-7159 (online)
dc.identifier.other10.1142/S179352451950061X
dc.identifier.urihttp://hdl.handle.net/2263/73054
dc.language.isoenen_ZA
dc.publisherWorld Scientific Publishingen_ZA
dc.rights© World Scientific Publishing Companyen_ZA
dc.subjectTuberculosis (TB)en_ZA
dc.subjectMixed infectionen_ZA
dc.subjectMathematical modelen_ZA
dc.subjectMycobacterium tuberculosis (MTB)en_ZA
dc.titleEffect of mixed infection on TB dynamicsen_ZA
dc.typePostprint Articleen_ZA

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