### Abstract

Original language | Undefined |
---|---|

Article number | 10.1016/j.mbs.2008.08.011 |

Pages (from-to) | 114-121 |

Number of pages | 8 |

Journal | Mathematical biosciences |

Volume | 216 |

Issue number | 412/1 |

DOIs | |

Publication status | Published - 2008 |

### Keywords

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

### Cite this

*Mathematical biosciences*,

*216*(412/1), 114-121. [10.1016/j.mbs.2008.08.011]. https://doi.org/10.1016/j.mbs.2008.08.011

}

*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.

Research output: Contribution to journal › Article › Academic › peer-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 -