Browsing by Subject "SIR model"

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    Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes
    (Hacettepe University, 2020) Gölgeli, M.; Atay, Fatihcan M.
    Infectious diseases are a serious problem for public health and spark the interest in interdisciplinary studies. In this paper, we present two mathematical models describing a possible scenario for infectious diseases. The first model considers the dynamics of the disease among adults and emphasizes the role of carriers in the SIR model and the second model assumes that the disease is transmitted to children by adults. We state the equilibria for each model and study the local stability of the equilibria. Furthermore, we perform simulations using a parameter set that explains the spread of a specific infectious disease (meningococcal disease) and interpret the possible cases of transmission via simulations.
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    ItemOpen Access
    The classical SIR model in epidemiology
    (Romanian Mathematical Society, 2020) Gheondea, Aurelian
    This is a survey note in which we describe the classical SIR model in mathematical epidemiology, a bit of qualitative analysis, its Euler discretisation, and some simulations.