Transmission Model of Dengue Disease with The Appearance of Symptom

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Published: Mar 30, 2018
Keywords:
transmission model, dengue disease, SIR model, symptomatic infection, asymptomatic infection

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Puntani Pongsumpun*
Department of Mathematics and Computer Science, Faculty of Science, King Mongkut’s Institute of Technology LadKrabang, Bangkok, Thailand.
Decha Samana
Department of Mathematics and Computer Science, Faculty of Science, King Mongkut’s Institute of Technology LadKrabang, Bangkok, Thailand.

Abstract

Dengue virus is transmitted to the human by biting of the infected Aedes Aegypti mosquito. After infection with dengue virus, the people may be symptomatic or asymptomatic. This fact is studied through the mathematical model. The infectious population with symptom and no symptom classes are introduced into the modified model. We compare this model with the SIR (Susceptible-Infectious-Recovered) model. The standard dynamical analysis is used to analyze the behavior of the solutions for the two models. A new expression for the basic reproduction rate is obtained. It is found that the symptomatic and asymptomatic classes reduce the periods of oscillations in the susceptible human, Infectious human and infectious vector and the tightness of the spiraling into the endemic equilibrium state.


Keywords: transmission model, dengue disease, SIR model, symptomatic infection, asymptomatic infection


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

Article Details

Issue
Vol. 6 No. 2a (2006)
Section
Original Research Articles

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