scholarly journals Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate

2011 ◽  
Vol 377 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Yoshiaki Muroya ◽  
Yoichi Enatsu ◽  
Yukihiko Nakata
Keyword(s):  
Global Stability ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Sirs Epidemic Model

scholarly journals On the global stability of a delay epidemic model

1992 ◽  
Vol 34 (1) ◽  
pp. 26-34
Author(s):  
Xiaodong Lin
Keyword(s):  
Periodic Solution ◽  
Asymptotic Behavior ◽  
Time Delay ◽  
Global Stability ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Threshold Value ◽  
Nonlinear Incidence Rate ◽  
Sirs Epidemic Model ◽  
Disease Free

AbstractIn this paper, we study the asymptotic behavior of an SIRS epidemic model with a time delay in the recovered class and a nonlinear incidence rate. A conjecture of Hethcote et al. [5] on the global stability of the disease-free equilibrium is solved. Moreover, we analyse the model when the contact number takes its threshold value. We show that solutions tend to either the disease-free equilibrium or to a unique positive endemic equilibrium, and there is no periodic solution.

GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS

2006 ◽  
Vol 26 (2) ◽  
pp. 291-306 ◽  
Author(s):  
Jin Zhen ◽  
Zhien Ma ◽  
Maoan Han
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Sirs Epidemic Model
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