Um estudo sobre equações diferenciais ordinárias aplicado á epidemiologia.

Abstract

This workaimstoconductastudyonOrdinaryDifferentialEquationsappliedtoEpidemiology. In particular,wewillpresentanepidemiologicalmodelappliedtotheHIVvirus,whichwas developedthroughacompartmentalmodelthatconsidersthateveryindividualinfectedbythe HIV viruswillhaveAIDS.Todoso,westudiedsomeepidemiologicalconceptsandcarriedouta study onmathematicalmodelingappliedtoepidemiology.Inaddition,wepresentanintroduction to thestudyoffirstorderordinarydifferentialequationsandsystemsoflineardifferential equations. Suchstudywasnecessaryfortheunderstandingoftheapplicationinquestion.Finally, we addresssomeofthecompartmentalmodelsusedinthestudyofmathematicalmodelsin epidemiology andanapplicationtotheHIVvirus.