A two-age-classes dengue transmission model

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 i...

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Bibliographic Details
Published in:Mathematical biosciences 2008-11, Vol.216 (1), p.114-121
Main Authors: Supriatna, A.K., Soewono, E., van Gils, S.A.
Format: Article
Language:English
Subjects:
Aedes - virology
Age Factors
Animals
Basic Reproduction Number
Child, Preschool
Critical vaccination level
Dengue transmission model
Dengue Virus - growth & development
Dengue Virus - immunology
Humans
Insect Vectors - virology
Models, Statistical
Severe Dengue - immunology
Severe Dengue - transmission
Severe Dengue - virology
Viral Vaccines - administration & dosage
Young Adult
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Summary: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.
ISSN:0025-5564
1879-3134
DOI:10.1016/j.mbs.2008.08.011