A two-age-classes dengue transmission model

A.K. Supriatna, E. Soewono, Stephanus A. van Gils

    Research output: Contribution to journalArticleAcademicpeer-review

    43 Citations (Scopus)

    Abstract

    In this paper, we discuss a two-age-classes dengue transmission model with vaccination. The reason to divide the human population into two age classes is for practical purpose, as vaccination is usually concentrated in one age class. We assume that a constant rate of individuals in the child-class is vaccinated. We analyze a threshold number which is equivalent to the basic reproduction number. If there is an undeliberate vaccination to infectious children, which worsens their condition as the time span of being infectious increases, then paradoxically, vaccination can be counter productive. The paradox, stating that vaccination makes the basic reproduction number even bigger, can occur if the worsening effect is greater than a certain threshold, a function of the human demographic and epidemiological parameters, which is independent of the level of vaccination. However, if the worsening effect is to increase virulence so that one will develop symptoms, then the vaccination is always productive. In both situations, screening should take place before vaccination. In general, the presence of class division has obscured the known rule of thumb for vaccination.
    Original languageUndefined
    Article number10.1016/j.mbs.2008.08.011
    Pages (from-to)114-121
    Number of pages8
    JournalMathematical biosciences
    Volume216
    Issue number412/1
    DOIs
    Publication statusPublished - 2008

    Keywords

    • Critical vaccination level
    • EWI-14900
    • Dengue transmission model
    • Basic reproduction number
    • IR-62696
    • METIS-255447

    Cite this

    Supriatna, A. K., Soewono, E., & van Gils, S. A. (2008). A two-age-classes dengue transmission model. Mathematical biosciences, 216(412/1), 114-121. [10.1016/j.mbs.2008.08.011]. https://doi.org/10.1016/j.mbs.2008.08.011
    Supriatna, A.K. ; Soewono, E. ; van Gils, Stephanus A. / A two-age-classes dengue transmission model. In: Mathematical biosciences. 2008 ; Vol. 216, No. 412/1. pp. 114-121.
    @article{daff05a3d606411a85ce14717c1dbf91,
    title = "A two-age-classes dengue transmission model",
    abstract = "In this paper, we discuss a two-age-classes dengue transmission model with vaccination. The reason to divide the human population into two age classes is for practical purpose, as vaccination is usually concentrated in one age class. We assume that a constant rate of individuals in the child-class is vaccinated. We analyze a threshold number which is equivalent to the basic reproduction number. If there is an undeliberate vaccination to infectious children, which worsens their condition as the time span of being infectious increases, then paradoxically, vaccination can be counter productive. The paradox, stating that vaccination makes the basic reproduction number even bigger, can occur if the worsening effect is greater than a certain threshold, a function of the human demographic and epidemiological parameters, which is independent of the level of vaccination. However, if the worsening effect is to increase virulence so that one will develop symptoms, then the vaccination is always productive. In both situations, screening should take place before vaccination. In general, the presence of class division has obscured the known rule of thumb for vaccination.",
    keywords = "Critical vaccination level, EWI-14900, Dengue transmission model, Basic reproduction number, IR-62696, METIS-255447",
    author = "A.K. Supriatna and E. Soewono and {van Gils}, {Stephanus A.}",
    note = "10.1016/j.mbs.2008.08.011",
    year = "2008",
    doi = "10.1016/j.mbs.2008.08.011",
    language = "Undefined",
    volume = "216",
    pages = "114--121",
    journal = "Mathematical biosciences",
    issn = "0025-5564",
    publisher = "Elsevier",
    number = "412/1",

    }

    Supriatna, AK, Soewono, E & van Gils, SA 2008, 'A two-age-classes dengue transmission model', Mathematical biosciences, vol. 216, no. 412/1, 10.1016/j.mbs.2008.08.011, pp. 114-121. https://doi.org/10.1016/j.mbs.2008.08.011

    A two-age-classes dengue transmission model. / Supriatna, A.K.; Soewono, E.; van Gils, Stephanus A.

    In: Mathematical biosciences, Vol. 216, No. 412/1, 10.1016/j.mbs.2008.08.011, 2008, p. 114-121.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - A two-age-classes dengue transmission model

    AU - Supriatna, A.K.

    AU - Soewono, E.

    AU - van Gils, Stephanus A.

    N1 - 10.1016/j.mbs.2008.08.011

    PY - 2008

    Y1 - 2008

    N2 - In this paper, we discuss a two-age-classes dengue transmission model with vaccination. The reason to divide the human population into two age classes is for practical purpose, as vaccination is usually concentrated in one age class. We assume that a constant rate of individuals in the child-class is vaccinated. We analyze a threshold number which is equivalent to the basic reproduction number. If there is an undeliberate vaccination to infectious children, which worsens their condition as the time span of being infectious increases, then paradoxically, vaccination can be counter productive. The paradox, stating that vaccination makes the basic reproduction number even bigger, can occur if the worsening effect is greater than a certain threshold, a function of the human demographic and epidemiological parameters, which is independent of the level of vaccination. However, if the worsening effect is to increase virulence so that one will develop symptoms, then the vaccination is always productive. In both situations, screening should take place before vaccination. In general, the presence of class division has obscured the known rule of thumb for vaccination.

    AB - In this paper, we discuss a two-age-classes dengue transmission model with vaccination. The reason to divide the human population into two age classes is for practical purpose, as vaccination is usually concentrated in one age class. We assume that a constant rate of individuals in the child-class is vaccinated. We analyze a threshold number which is equivalent to the basic reproduction number. If there is an undeliberate vaccination to infectious children, which worsens their condition as the time span of being infectious increases, then paradoxically, vaccination can be counter productive. The paradox, stating that vaccination makes the basic reproduction number even bigger, can occur if the worsening effect is greater than a certain threshold, a function of the human demographic and epidemiological parameters, which is independent of the level of vaccination. However, if the worsening effect is to increase virulence so that one will develop symptoms, then the vaccination is always productive. In both situations, screening should take place before vaccination. In general, the presence of class division has obscured the known rule of thumb for vaccination.

    KW - Critical vaccination level

    KW - EWI-14900

    KW - Dengue transmission model

    KW - Basic reproduction number

    KW - IR-62696

    KW - METIS-255447

    U2 - 10.1016/j.mbs.2008.08.011

    DO - 10.1016/j.mbs.2008.08.011

    M3 - Article

    VL - 216

    SP - 114

    EP - 121

    JO - Mathematical biosciences

    JF - Mathematical biosciences

    SN - 0025-5564

    IS - 412/1

    M1 - 10.1016/j.mbs.2008.08.011

    ER -

    Supriatna AK, Soewono E, van Gils SA. A two-age-classes dengue transmission model. Mathematical biosciences. 2008;216(412/1):114-121. 10.1016/j.mbs.2008.08.011. https://doi.org/10.1016/j.mbs.2008.08.011