Dynamics Analysis of an Epidemiological Model with Media Impact and Two Delays

Lianwen Wang, Yong Li, Liuyong Pang
2016 Mathematical Problems in Engineering  
This paper is concerned with exploring the global dynamics of SEIR epidemic model with media impact, which incorporates latency and relapse delays. The permanence of the model is carefully discussed. By suitable Lyapunov functionals, we establish the global stability of the equilibria. It is found that the basic reproduction number completely determines the threshold dynamics of the SEIR model. Finally, the impact of media on the epidemic spread is studied, which reveals that timely response of
more » ... media and individuals may play a more key role in disease control.
doi:10.1155/2016/1598932 fatcat:muykmrxpcnco7p5enz353itdm4