Mathematical Modelling Of Hiv/aids Dynamics With Treatment And Vertical Transmission

91 pages ID: MTH0141

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DepartmentMathematics
TypeProject
Pages91
Reference StyleYES
FormatMS Word & PDF
Reference No.MTH0141

Abstract

ABSTRACT This study proposes and analyzes a non-linear mathematical model for the dynamics of HIV/AIDS with treatment and vertical transmission. The equilibrium points of the model system are found and their stability is investigated. The model exhibits two equilibria namely, the disease-free and the endemic equilibrium. It is found that if the basic reproduction number R0 1, the disease-free equilibrium is always locally asymptotically stable and in such a case the endemic equilibrium does not exist. If 0 R 1, a unique equilibrium exist which locally asymptotically stable and becomes global…

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Pages91
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