Global dynamics and bifurcation in delayed SIR epidemic model |
| |
Authors: | TK Kar Prasanta Kumar Mondal |
| |
Institution: | 1. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-3, India;2. Department of Mathematics, Shibpur Sri Ramkrishna Vidyalaya, Howrah-2, India |
| |
Abstract: | An SIR epidemic model with time delay, information variable and saturated incidence rate, where the susceptibles are assumed to satisfy the logistic equation and the incidence term, is of saturated form with the susceptibles. This model exhibits two bifurcations, one is transcritical bifurcation and the other is Hopf bifurcation. The local and global stability of endemic equilibrium is also discussed. Finally, numerical simulations are carried out to explain the mathematical conclusions. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|