xmlui.dri2xhtml.structural.head-subtitle

Mathematical model for the infectiology of brucellosis with some control strategies

Show simple item record

dc.contributor.author Nyerere, Nkuba
dc.contributor.author Luboobi, Livingstone S.
dc.contributor.author Mpeshe, Saul C.
dc.contributor.author Shirima, Gabriel M.
dc.date.accessioned 2019-12-31T06:55:54Z
dc.date.available 2019-12-31T06:55:54Z
dc.date.issued 2019-12-25
dc.identifier.uri http://dx.doi.org/10.20852/ntmsci.2019.380
dc.identifier.uri http://dspace.nm-aist.ac.tz/handle/123456789/525
dc.description Research Article published by BISKA Bilisim Technology en_US
dc.description.abstract Brucellosis 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.iso en en_US
dc.publisher BISKA Bilisim Technology en_US
dc.subject mathematical model en_US
dc.subject environmental hygiene en_US
dc.subject Brucellosis en_US
dc.title Mathematical model for the infectiology of brucellosis with some control strategies en_US
dc.type Article en_US


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search Our NM-AIST IR


Browse NM-AIST IR

My NM-AIST IR Account

Statistics