Modelling the Use of Insecticide-Treated Cattle to Control Tsetse and Trypanosoma brucei rhodesiense in a Multi-host Population

dc.contributor.authorKajunguri, Damian
dc.contributor.authorHargrove, John W.
dc.contributor.authorOuifki, Rachid
dc.contributor.authorMugisha, J.Y.T.
dc.contributor.authorColeman, Paul G.
dc.contributor.authorWelburn, Susan C.
dc.date.accessioned2022-12-06T12:54:57Z
dc.date.available2022-12-06T12:54:57Z
dc.date.issued2014
dc.description.abstractWe present a mathematical model for the transmission of Trypanosoma brucei rhodesiense by tsetse vectors to a multi-host population. To control tsetse and T. b. rhodesiense, a proportion, ψ, of cattle (one of the hosts considered in the model) is taken to be kept on treatment with insecticides. Analytical expressions are obtained for the basic reproduction number, R0n in the absence, and RT 0n in the presence of insecticide-treated cattle (ITC). Stability analysis of the disease-free equilibrium was carried out for the case when there is one vertebrate host untreated with insecticide. By considering three vertebrate hosts (cattle, humans and wildlife) the sensitivity analysis was carried out on the basic reproduction number (RT 03) in the absence and presence of ITC. The results show that RT 03 is more sensitive to changes in the tsetse mortality. The model is then used to study the control of tsetse and T. b. rhodesiense in humans through application insecticides to cattle either over the whole-body or to restricted areas of the body known to be favoured tsetse feeding sites. Numerical results show that while both ITC strategies result in decreases in tsetse density and in the incidence of T. b. rhodesiense in humans, the restricted application technique resultsen_US
dc.identifier.citationKajunguri, D., Hargrove, J. W., Ouifki, R., Mugisha, J. Y. T., Coleman, P. G., & Welburn, S. C. (2014). Modelling the use of insecticide-treated cattle to control tsetse and Trypanosoma brucei rhodesiense in a multi-host population. Bulletin of Mathematical biology, 76(3), 673-696. DOI 10.1007/s11538-014-9938-6en_US
dc.identifier.otherDOI 10.1007/s11538-014-9938-6
dc.identifier.urihttps://nru.uncst.go.ug/handle/123456789/5993
dc.language.isoenen_US
dc.publisherBulletin of Mathematical biologyen_US
dc.subjectTrypanosomiasisen_US
dc.subjectTsetseen_US
dc.subjectVector controlen_US
dc.subjectInsecticide-treated cattleen_US
dc.titleModelling the Use of Insecticide-Treated Cattle to Control Tsetse and Trypanosoma brucei rhodesiense in a Multi-host Populationen_US
dc.typeArticleen_US
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