컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0563 |
|---|---|
| 분류(Section) | Poster Session |
| 분과(Session) | Ordinary Differential Equations / Dynamical Systems (SS-10) |
| 영문제목 (Title(Eng.)) |
[CANCELLED] Effect of nonlinear incidence rate on the dynamics of malaria transmission |
| 저자(Author(s)) |
Pariyaporn Roop-o1, Wirawan Chinviriyasit2 King Mongkut's University of Technology Thonburi1, Wirawan Chinviriyasit2 |
| 초록본문(Abstract) | In this paper, the model for the transmission of malaria disease with nonlinear incidence rate is modified to describe the dynamics of malaria transmission. The stability of the system can be controlled by the threshold number, known as the reproductive number ($\Re_0$) which investigate the existence and stability of the equilibria. It is found that the disease-free equilibrium point(DFE) is locally asymptotically stable when $\Re_0$ is less than unity and unstable if $\Re_0$ is greater than unity. For $\Re_0>1$, the endemic equilibrium is locally asymptotically stable using the general theory of competitive system. Numerical results are shown that the contribution of the nonlinear incidence provides important guidelines for accessing control of malaria diseases. |
| 분류기호 (MSC number(s)) |
37B25 |
| 키워드(Keyword(s)) | Malaria, nonlinear incidence, basic reproduction number, stability |
| 강연 형태 (Language of Session (Talk)) |
English |