dc.contributor.author Nyerere, Nkuba dc.contributor.author Luboobi, Livingstone dc.contributor.author Mpeshe, Saul dc.contributor.author Shirima, Gabriel dc.date.accessioned 2021-05-07T14:27:13Z dc.date.available 2021-05-07T14:27:13Z dc.date.issued 2019 dc.identifier.uri http://hdl.handle.net/11071/10483 dc.description Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya en_US dc.description.abstract Brucellosis is a zoonotic infection caused by gram-negative bacteria of genus en_US brucella. In this paper, a deterministic mathematical model for the infectiology of brucellosis with vaccination of ruminants, culling of seropositive animals through slaughter, and proper environmental hygiene and sanitation is formulated and analyzed. A positive invariant region of the formulated model is established using the Box Invariance method, the effective reproduction number, Re of the model is computed using the standard next generation approach. We proved that the brucellosis free equilibrium exists, locally and globally asymptotically stable if Re < 1 while the endemic equilibrium point exists, locally and globally asymptotically stable if Re > 1. Sensitivity analysis of the effective reproductive number shows that, natural mortality rate of ruminants, recruitment rate, ruminant to ruminant transmission rate, vaccination rate, and disease induced mortality rate are the most sensitive parameters and should be targeted in design of the control strategies for the disease. Numerical simulation shows that the combination of more than two control strategies reduces/eliminates the disease from the livestock population. dc.description.sponsorship Nelson Mandela African Institution of Science and Technology, Tanzania. en_US Institute of Mathematical Sciences, Strathmore University, Nairobi, Kenya. University of Iringa, Tanzania. dc.language.iso en_US en_US dc.publisher Strathmore University en_US dc.subject Brucellosis en_US dc.subject Mathematical model en_US dc.subject Infectiology en_US dc.subject Control Strategies en_US dc.title Mathematical model for the infectiology of Brucellosis with some control strategies en_US dc.type Article en_US
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### This item appears in the following Collection(s)

• SIMC 2019 [99]
5th Strathmore International Mathematics Conference (August 12 – 16, 2019)