The influence of the school year on measles epidemics

    Publikation: KonferencebidragKonferenceabstrakt til konferenceForskning

    Resumé

    The measles incidence record for Copenhagen 1880-1966 shows that the date of admission of new pupils has major impact on the structure of the epidemics, suggesting that measles transmission should be modelled in a way that accounts for the pulsed influx of new pupils. Assuming that the school year is long enough to allow for the epidemic to reach its final size, I derive an age-structured model reflecting the school sytructure and discuss its properties. If disease transmission is independent of age there exists a stable equilibrium in the sense that the epidemics of the same size will arise in each season. If transmission is gae-dependent the dynamics can involve regular or irregular oscillations.
    OriginalsprogEngelsk
    Publikationsdato2006
    StatusUdgivet - 2006
    BegivenhedEuropean conference on mathematical and theoretical biology - Dresden, Tyskland
    Varighed: 18 jul. 200522 jul. 2005
    Konferencens nummer: 6

    Konference

    KonferenceEuropean conference on mathematical and theoretical biology
    Nummer6
    LandTyskland
    ByDresden
    Periode18/07/200522/07/2005

    Citer dette

    Andreasen, V. (2006). The influence of the school year on measles epidemics. Abstract fra European conference on mathematical and theoretical biology, Dresden, Tyskland.
    Andreasen, Viggo. / The influence of the school year on measles epidemics. Abstract fra European conference on mathematical and theoretical biology, Dresden, Tyskland.
    @conference{b126e8f052bf11dba4bc000ea68e967b,
    title = "The influence of the school year on measles epidemics",
    abstract = "The measles incidence record for Copenhagen 1880-1966 shows that the date of admission of new pupils has major impact on the structure of the epidemics, suggesting that measles transmission should be modelled in a way that accounts for the pulsed influx of new pupils. Assuming that the school year is long enough to allow for the epidemic to reach its final size, I derive an age-structured model reflecting the school sytructure and discuss its properties. If disease transmission is independent of age there exists a stable equilibrium in the sense that the epidemics of the same size will arise in each season. If transmission is gae-dependent the dynamics can involve regular or irregular oscillations.",
    author = "Viggo Andreasen",
    year = "2006",
    language = "English",
    note = "null ; Conference date: 18-07-2005 Through 22-07-2005",

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    Andreasen, V 2006, 'The influence of the school year on measles epidemics' European conference on mathematical and theoretical biology, Dresden, Tyskland, 18/07/2005 - 22/07/2005, .

    The influence of the school year on measles epidemics. / Andreasen, Viggo.

    2006. Abstract fra European conference on mathematical and theoretical biology, Dresden, Tyskland.

    Publikation: KonferencebidragKonferenceabstrakt til konferenceForskning

    TY - ABST

    T1 - The influence of the school year on measles epidemics

    AU - Andreasen, Viggo

    PY - 2006

    Y1 - 2006

    N2 - The measles incidence record for Copenhagen 1880-1966 shows that the date of admission of new pupils has major impact on the structure of the epidemics, suggesting that measles transmission should be modelled in a way that accounts for the pulsed influx of new pupils. Assuming that the school year is long enough to allow for the epidemic to reach its final size, I derive an age-structured model reflecting the school sytructure and discuss its properties. If disease transmission is independent of age there exists a stable equilibrium in the sense that the epidemics of the same size will arise in each season. If transmission is gae-dependent the dynamics can involve regular or irregular oscillations.

    AB - The measles incidence record for Copenhagen 1880-1966 shows that the date of admission of new pupils has major impact on the structure of the epidemics, suggesting that measles transmission should be modelled in a way that accounts for the pulsed influx of new pupils. Assuming that the school year is long enough to allow for the epidemic to reach its final size, I derive an age-structured model reflecting the school sytructure and discuss its properties. If disease transmission is independent of age there exists a stable equilibrium in the sense that the epidemics of the same size will arise in each season. If transmission is gae-dependent the dynamics can involve regular or irregular oscillations.

    M3 - Conference abstract for conference

    ER -

    Andreasen V. The influence of the school year on measles epidemics. 2006. Abstract fra European conference on mathematical and theoretical biology, Dresden, Tyskland.