컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0543 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Ordinary Differential Equations / Dynamical Systems (SS-10) |
| 영문제목 (Title(Eng.)) |
On a mathematical model for the transmission of the dengue disease |
| 저자(Author(s)) |
Lowilton Mirasol1, Jose Maria L. Escaner IV1 University of the Philippines - Diliman1 |
| 초록본문(Abstract) | Dengue, also known as breakbone fever, is the most common and rapidly spreading mosquito-borne disease. The virus, belonging to the genus Flavivirus, is carried and transmitted by the mosquito of the Aedes genus, commonly the Aedes egypti and Aedes albopictus. Mosquitoes generally acquire the virus while feeding on the blood of an infected person (WHO, 2009). The study aims to construct a mathematical model, using the SIR framework, that will capture the dynamics of dengue disease in the Philippines. Both the human population and the vector population are considered non-constant. Furthermore, the vector population is divided into the aquatic and adult phases. We also introduce control parameters in these two phases. We solve for the basic reproduction rate that will incite the epidemic, investigate the stability of the equilibrium states of the model, and derive conditions for stability, if necessary. Numerical simulations will test and validate the model using data obtained from the Philippine Department of Health and Rodrigues et al (2012). |
| 분류기호 (MSC number(s)) |
92D30 |
| 키워드(Keyword(s)) | SIR model, dengue disease, equilibrium points, stability analysis, basic reproduction number, aquatic and adult phase control parameters, numerical simulation |
| 강연 형태 (Language of Session (Talk)) |
English |