Mathematical Model of Dengue Virus with Primary and Secondary Infection
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Abstract
In this study, we analyzed SEIR model for human and SEI model for mosquitoes. We considered the development of dengue infection from dengue fever (DF) to dengue hemorrhagic fever (DHF). The stability of the endemic equilibrium and the disease-free equilibrium states are incurred by Routh-Hurwitz criteria. Numerical simulations for the model are used to solve a system of differential equations. It showed that the local stability for disease free states and endemic states depended on the basic reproductive rate of the disease. The results of this study is recommended as an effective control measure for reducing the transmission of dengue disease.
Keywords: dengue fever; SEIR model; SEI model
*Corresponding author: Tel.: 662-329-8000 Ext. 6196 Fax: 662-329-8412
E-mail: kppuntan@kmitl.ac.th
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