|
Stability and Hopf bifurcation on an SEIR delayed modelwith logistic growth |
|---|---|
| รหัสดีโอไอ | |
| Creator | 1. Aekabut Sirijampa 2. Settapat Chinviriyasit 3. Wirawan Chinviriyasit |
| Title | Stability and Hopf bifurcation on an SEIR delayed modelwith logistic growth |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2561 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 40 |
| Journal No. | 4 |
| Page no. | 928 |
| Keyword | SEIR model, time delay, logistic growth, local stability, Hopf bifurcation |
| URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | This paper investigates the stability and Hopf bifurcation of SEIR delay model with logistic growth. Firstly, theexistence and uniqueness of equilibrium point are analyzed. For the study of the stability of the equilibrium point time delay (?)was chosen as the bifurcation parameter. By considering the roots of characteristic equations, it was found that disease-freeequilibrium is locally asymptotically stable for all? ? 0. The endemic equilibrium of the model is conditionally stable. Hopfbifurcation will occur when the bifurcation parameter passes through a critical value. Moreover, stability and direction of Hopfbifurcation are obtained by using the normal form theory and the center manifold reduction. Finally, the numerical solutions aresimulated to verify the theoretical results. |
