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.
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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

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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