Bifurcation analysis on a delayed SIS epidemic model with stage structure
| dc.contributor.author | Liu, Li | |
| dc.contributor.author | Li, Xiangao | |
| dc.contributor.author | Zhuang, Kejun | |
| dc.date.accessioned | 2021-08-11T18:18:45Z | |
| dc.date.available | 2021-08-11T18:18:45Z | |
| dc.date.issued | 2007-05-22 | |
| dc.description.abstract | In this paper, a delayed SIS (Susceptible Infectious Susceptible) model with stage structure is investigated. We study the Hopf bifurcations and stability of the model. Applying the normal form theory and the center manifold argument, we derive the explicit formulas determining the properties of the bifurcating periodic solutions. The conditions to guarantee the global existence of periodic solutions are established. Also some numerical simulations for supporting the theoretical are given. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Liu, L., Li, X., & Zhuang, K. (2007). Bifurcation analysis on a delayed SIS epidemic model with stage structure. <i>Electronic Journal of Differential Equations, 2007</i>(77), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14273 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | SIS model | |
| dc.subject | Delay | |
| dc.subject | Hopf bifurcation | |
| dc.subject | Stability | |
| dc.subject | Periodic solution | |
| dc.title | Bifurcation analysis on a delayed SIS epidemic model with stage structure | |
| dc.type | Article |