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

scholarly journals Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model

2011 ◽  
Vol 16 (1) ◽  
pp. 59-76 ◽  
Author(s):  
A. Lahrouz ◽  
L. Omari ◽  
D. Kiouach
Keyword(s):  
Lyapunov Function ◽  
Global Stability ◽  
Epidemic Model ◽  
Global Analysis ◽  
Stochastic Version ◽  
Noise Perturbation ◽  
Sirs Epidemic Model ◽  
Saturated Incidence Rate ◽  
Saturated Incidence ◽  
Endemic Equilibrium State

We present in this paper an SIRS epidemic model with saturated incidence rate and disease-inflicted mortality. The Global stability of the endemic equilibrium state is proved by constructing a Lyapunov function. For the stochastic version, the global existence and positivity of the solution is showed, and the global stability in probability and pth moment of the system is proved under suitable conditions on the intensity of the white noise perturbation.

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