A dengue vaccination model for immigrants in a two-age-class population

Hengki Tasman, Asep K. Supriatna, Nuning Nuraini, Edy Soewono

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We develop a model of dengue transmission with some vaccination programs for immigrants. We classify the host population into child and adult classes, in regards to age structure, and into susceptible, infected and recovered compartments, in regards to disease status. Since migration plays important role in disease transmission, we include immigration and emigration factors into the model which are distributed in each compartment. Meanwhile, the vector population is divided into susceptible, exposed, and infectious compartments. In the case when there is no incoming infected immigrant, we obtain the basic reproduction ratio as a threshold parameter for existence and stability of disease-free and endemic equilibria. Meanwhile, in the case when there are some incoming infected immigrants, we obtain only endemic equilibrium. This indicates that screening for the immigrants is important to ensure the effectiveness of the disease control.

Original languageEnglish
Article number236352
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2012
DOIs
Publication statusPublished - 20 Jun 2012

Fingerprint Dive into the research topics of 'A dengue vaccination model for immigrants in a two-age-class population'. Together they form a unique fingerprint.

  • Cite this