Effect of mixed infection on TB dynamics

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dc.contributor.author Ssebuliba, Doreen Mbabazi
dc.contributor.author Ouifki, Rachid
dc.date.accessioned 2020-02-03T07:22:51Z
dc.date.issued 2019-07
dc.description.abstract Poor 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.department Mathematics and Applied Mathematics en_ZA
dc.description.embargo 2020-07-01
dc.description.librarian hj2020 en_ZA
dc.description.uri https://www.worldscientific.com/worldscinet/ijb en_ZA
dc.identifier.citation Ssebuliba, 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.issn 1793-5245 (print)
dc.identifier.issn 1793-7159 (online)
dc.identifier.other 10.1142/S179352451950061X
dc.identifier.uri http://hdl.handle.net/2263/73054
dc.language.iso en en_ZA
dc.publisher World Scientific Publishing en_ZA
dc.rights © World Scientific Publishing Company en_ZA
dc.subject Tuberculosis (TB) en_ZA
dc.subject Mixed infection en_ZA
dc.subject Mathematical model en_ZA
dc.subject Mycobacterium tuberculosis (MTB) en_ZA
dc.title Effect of mixed infection on TB dynamics en_ZA
dc.type Postprint Article en_ZA


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