scholarly journals Extinction and permanence in a stochastic SIRS model in regime-switching with general incidence rate

2019 ◽  
Vol 34 ◽  
pp. 121-130 ◽  
Author(s):  
T.D. Tuong ◽  
Dang H. Nguyen ◽  
N.T. Dieu ◽  
Ky Tran
Keyword(s):  
Incidence Rate ◽  
Regime Switching ◽  
General Incidence Rate ◽  
Sirs Model

scholarly journals Dynamical analysis of a diffusive SIRS model with general incidence rate

2020 ◽  
Vol 25 (7) ◽  
pp. 2433-2451
Author(s):  
Yu Yang ◽  
◽  
Lan Zou ◽  
Tonghua Zhang ◽  
Yancong Xu ◽  
...  
Keyword(s):  
Incidence Rate ◽  
Dynamical Analysis ◽  
General Incidence Rate ◽  
Sirs Model

scholarly journals Stability and Asymptotic Behavior of a Regime-Switching SIRS Model with Beddington–DeAngelis Incidence Rate

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Shan Wang ◽  
Youhua Peng ◽  
Feng Wang
Keyword(s):  
Asymptotic Behavior ◽  
Incidence Rate ◽  
Regime Switching ◽  
Invariant Set ◽  
Stochastic Noise ◽  
Threshold Values ◽  
Unique Positive Solution ◽  
Stochastic Asymptotic Stability ◽  
Sirs Model

A regime-switching SIRS model with Beddington–DeAngelis incidence rate is studied in this paper. First of all, the property that the model we discuss has a unique positive solution is proved and the invariant set is presented. Secondly, by constructing appropriate Lyapunov functionals, global stochastic asymptotic stability of the model under certain conditions is proved. Then, we leave for studying the asymptotic behavior of the model by presenting threshold values and some other conditions for determining disease extinction and persistence. The results show that stochastic noise can inhibit the disease and the behavior will have different phenomena owing to the role of regime-switching. Finally, some examples are given and numerical simulations are presented to confirm our conclusions.

Stochastic SIRS model under regime switching

2013 ◽  
Vol 14 (1) ◽  
pp. 352-364 ◽  
Author(s):  
Zhixia Han ◽  
Jiandong Zhao
Keyword(s):  
Regime Switching ◽  
Sirs Model
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