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dc.contributor.authorNyerere, Nkuba
dc.contributor.authorLuboobi, Livingstone S.
dc.contributor.authorMpeshe, Saul C.
dc.contributor.authorShirima, Gabriel M.
dc.date.accessioned2019-12-31T06:55:54Z
dc.date.available2019-12-31T06:55:54Z
dc.date.issued2019-12-25
dc.identifier.urihttp://dx.doi.org/10.20852/ntmsci.2019.380
dc.identifier.urihttp://dspace.nm-aist.ac.tz/handle/123456789/525
dc.descriptionResearch Article published by BISKA Bilisim Technologyen_US
dc.description.abstractBrucellosis is a neglected zoonotic infection caused by gram-negative bacteria of genus 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 prove 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 culling rate are the most sensitive parameters and should be targeted in designing of the control strategies for the disease. Numerical simulation is done to show the variations of each subpopulation with respect to the control parameters.en_US
dc.language.isoenen_US
dc.publisherBISKA Bilisim Technologyen_US
dc.subjectMathematical modelen_US
dc.subjectEnvironmental hygieneen_US
dc.subjectBrucellosisen_US
dc.titleMathematical model for the infectiology of brucellosis with some control strategiesen_US
dc.typeArticleen_US


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