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

91 pages Chapters 5 ID: MTH0077

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Project Details

DepartmentMathematics
TypeProject
Pages91
Chapters5
MethodologyScientific Method
Reference StyleYES
FormatMS Word & PDF
Reference No.MTH0077

Abstract

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

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Pages91
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