Bifurcation and stability of a diffusive SIRS epidemic model with time delay
| dc.contributor.author | Sounvoravong, Bounsanong | |
| dc.contributor.author | Guo, Shangjiang | |
| dc.contributor.author | Bai, Yuzhen | |
| dc.date.accessioned | 2021-11-05T15:34:08Z | |
| dc.date.available | 2021-11-05T15:34:08Z | |
| dc.date.issued | 2019-03-30 | |
| dc.description.abstract | In this article, we study a reaction-diffusion system for a SIRS epidemic model with time delay and nonlinear incidence rate. On the one hand, we study the existence and stability of the disease-free equilibrium, endemic equilibria and Hopf bifurcation, by analyzing the characteristic equations. On the other hand, we establish formulas determining the direction and stability of the bifurcating periodic solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Sounvoravong, B., Guo, S., & Bai, Y. (2019). Bifurcation and stability of a diffusive SIRS epidemic model with time delay. <i>Electronic Journal of Differential Equations, 2019</i>(45), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14778 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, 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, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Diffusion | |
| dc.subject | SIR model | |
| dc.subject | Basic reproduction number | |
| dc.subject | Stability | |
| dc.title | Bifurcation and stability of a diffusive SIRS epidemic model with time delay | |
| dc.type | Article |