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Risk of Infection to Tourists Visiting an Dengue Fever Endemic Region

Risk of Infection to Tourists Visiting an Dengue Fever Endemic Region

Original Research ArticleNov 12, 2018Vol. 5 No. 2 (2005)

Abstract

A mathematical model is used to study the risk of infection by the dengue virus for tourists visiting a dengue fever endemic region. The SIR (S = susceptible, I = infectious and R = recovered) model is used. The human population is separated into two populations, host and tourists. The infection rate of dengue virus depends on the immune status of the human. We assume that tourists have less immunity than the members of the host population. We use standard dynamic analysis method for analyzing mathematical model. The local stability conditions for the endemic state are determined from the value of the reproduction number for the disease. The infectious tourist fractions are calculated as a function of the length of time the tourist stay in the region. The risk of infection grows as the tourists stay longer.

Keywords: dengue disease, transmission model, tourist, stability

Corresponding author: E-mail: kppuntan@kmitl.ac.th

 

How to Cite

Pongsumpun*, P. ., & Tang, I. . (2018). Risk of Infection to Tourists Visiting an Dengue Fever Endemic Region. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 460-468.

References

  • World Health Organization. 1999 Dengue Haemorrhagic fever: Diagnosis treatment and control, Geneva.
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  • Lindback, H., Lindback, J., Tegnell, A., Janzon, R., Vene, S. and Ekdahl. 2003 Dengue Fever in Travelers to the Tropics, 1998 and 1999. Emerging Infectious Diseases [serial online] available from http//www.cdc.gov/ncidod/EID/vol9no4/02-0267.htm.
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Author Information

Puntani Pongsumpun*

Department of Mathematics and Computer Science, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

I-Ming Tang

Department of Physics, Faculty of Science, Mahidol University (BHU), Bangkok, Thailand

About this Article

Journal

Vol. 5 No. 2 (2005)

Type of Manuscript

Original Research Article

Keywords

dengue disease, transmission model, tourist, stability

Published

12 November 2018