scholarly journals Global stability of a network-based SIRS epidemic model with nonmonotone incidence rate

2019 ◽  
Vol 515 ◽  
pp. 587-599 ◽  
Author(s):  
Lijun Liu ◽  
Xiaodan Wei ◽  
Naimin Zhang
Keyword(s):  
Global Stability ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Sirs Epidemic Model

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.

scholarly journals A stochastic SIRS epidemic model with non-monotone incidence rate under regime-switching

2019 ◽  
Vol 356 (16) ◽  
pp. 9844-9866 ◽  
Author(s):  
Guijie Lan ◽  
Ziyan Lin ◽  
Chunjin Wei ◽  
Shuwen Zhang
Keyword(s):  
Incidence Rate ◽  
Epidemic Model ◽  
Regime Switching ◽  
Sirs Epidemic Model ◽  
Stochastic Sirs Epidemic Model

Threshold of a regime-switching SIRS epidemic model with a ratio-dependent incidence rate

2019 ◽  
Vol 521 ◽  
pp. 614-625
Author(s):  
Qun Liu ◽  
Daqing Jiang ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi
Keyword(s):  
Incidence Rate ◽  
Epidemic Model ◽  
Regime Switching ◽  
Sirs Epidemic Model ◽  
Ratio Dependent

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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