Mathematical Model of Dengue Virus with Primary and Secondary Infection
รหัสดีโอไอ
Creator Puntani Pongsumpun
Title Mathematical Model of Dengue Virus with Primary and Secondary Infection
Contributor Rattiya Sungchasit
Publisher King Mongkut's Institute of Technology Ladkrabang
Publication Year 2562
Journal Title Current Applied Science and Technology
Journal Vol. 19
Journal No. 2
Page no. 154-176
Keyword dengue fever, SEIR model, SEI model
URL Website https://www.tci-thaijo.org/index.php/cast
Website title https://www.tci-thaijo.org/index.php
ISSN 2586-9396
Abstract In this study, we analyzed an 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 are depend 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.
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