A Mathematical model for the dynamics and control of river blindness with asymptomatic infected humans

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dc.contributor.authorTumwiine, Julius
dc.date.accessioned2021-05-07T11:53:37Z
dc.date.available2021-05-07T11:53:37Z
dc.date.issued2019-08
dc.descriptionPaper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenyaen_US
dc.description.abstractOnchocerciasis, also known as river blindness, is a disease caused by infection with SBS the parasitic worm Onchocerca volvulus and is transmitted to humans through exposure to repeated bites of infected blackflies of the genus Simulium. It is endemic mostly in remote and rural areas in sub-Saharan Africa. Community-directed annual mass drug administration (MDA) with ivermectin is the core to eliminate onchocerciasis in all endemic foci in Africa. However, novel and alternative strategies such as vaccination are urgently required to supplement elimination of the disease. In this study, a mathematical model with asymptomatic infected humans is formulated to assess the impact of the different control strategies. Model analysis is performed for the existence and stability of the equilibrium points. The next generation approach is used to calculate the basic reproduction number, Ro. The disease-free equilibrium (DFE) is locally asymptotically stable when Ro < 1. The study findings reveal that a combination of mass treatment s with ivermectin together with vaccination should be applied to eliminate the disease.en_US
dc.description.sponsorshipMbaruru University of Science and Technology, Uganda.en_US
dc.identifier.urihttp://hdl.handle.net/11071/10463
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.subjectBasic reproduction numberen_US
dc.subjectEndemicen_US
dc.subjectMass drug administrationen_US
dc.subjectVaccinationen_US
dc.titleA Mathematical model for the dynamics and control of river blindness with asymptomatic infected humansen_US
dc.typeArticleen_US
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