Risk of Infection to Tourists Visiting an Dengue Fever Endemic Region

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Published: Nov 12, 2018
Keywords:
dengue disease, transmission model, tourist, stability

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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

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


 

Article Details

Issue
Vol. 5 No. 2 (2005)
Section
Original Research Articles

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