Transmission dynamics of an infectious disease with treatment
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Date
2016
Authors
Alavinejad, Mahnaz
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Abstract
In an infectious disease with a long infectious period (which can be the entire life for some diseases), the infectivity of individuals may change due to different reasons. For example, infected individuals may receive treatment and their level of infectivity can reduce depending on the efficacy of the treatment. Or, infected individuals may change their behaviour and reduce their activity once the disease is diagnosed, leading to a reduction of their infectivity. Treated individuals may stop getting treatment, and return to the infective class at a rate depending on how long they have been receiving treatment.
In this thesis, a compartmental model consisting of three compartments (susceptibles, infectives and treated infectives) is formulated to study the effect of treatment on the transmission dynamics of a disease. Continuous and discrete treatment-age-structured models are derived and the asymptotic behaviour of the system is studied and the basic reproduction number is determined.
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Keywords
Mathematical epidemiology, transmission dynamics, Treatment