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Critical Vaccination Level for Dengue Fever Disease Transmission

Critical Vaccination Level for Dengue Fever Disease Transmission
Asep K. Supriatna
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In this paper we discuss a critical vaccination level in the transmission of dengue fever disease. We assume that the vaccination is administrated constantly, either to some proportion of the whole susceptible human population or to some proportion of newborns. We also assume that the effect of vaccination is perfect, that is it prevents the vaccinated susceptible individual from catching the disease caused by all type of dengue viruses. The critical vaccination level then is obtained as a function of the basic reproductive ratio, R0, which is consistent with the rule for the simple SIR model. Above this prescribed critical level, vaccination will make the disease die out. Conversely, below this prescribed critical level, the disease will persist. The model suggests that vaccinating general susceptible human population is significantly more effective than vaccinating newborn human population.

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