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A Dengue Vaccination Model for Immigrants in a Two-Age-Class Population

Author

Listed:
  • Hengki Tasman
  • Asep K. Supriatna
  • Nuning Nuraini
  • Edy Soewono

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.

Suggested Citation

  • Hengki Tasman & Asep K. Supriatna & Nuning Nuraini & Edy Soewono, 2012. "A Dengue Vaccination Model for Immigrants in a Two-Age-Class Population," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-15, May.
    • Handle: RePEc:hin:jijmms:236352
    DOI: 10.1155/2012/236352
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    Cited by:

    1. Asep K. Supriatna & Hennie Husniah & Edy Soewono & Bapan Ghosh & Yedhi Purwanto & Elah Nurlaelah, 2022. "Age-Dependent Survival Rates in SIR-SI Dengue Transmission Model and Its Application Considering Human Vaccination and Wolbachia Infection in Mosquitoes," Mathematics, MDPI, vol. 10(21), pages 1-22, October.
    2. Anusit Chamnan & Puntani Pongsumpun & I-Ming Tang & Napasool Wongvanich, 2021. "Optimal Control of Dengue Transmission with Vaccination," Mathematics, MDPI, vol. 9(15), pages 1-33, August.

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