scholarly journals Ergodicity of regime-switching diffusions in Wasserstein distances

2015 ◽  
Vol 125 (2) ◽  
pp. 739-758 ◽  
Author(s):  
Jinghai Shao
Keyword(s):  
Regime Switching ◽  
Switching Diffusions ◽  
Wasserstein Distances

scholarly journals Almost sure asymptotic stability for regime-switching diffusions

2015 ◽  
Vol 45 (5) ◽  
pp. 593-610 ◽  
Author(s):  
JunHao HU ◽  
JianHai BAO ◽  
ChengGui YUAN
Keyword(s):  
Asymptotic Stability ◽  
Regime Switching ◽  
Switching Diffusions

scholarly journals Ergodicity of a Nonlinear Stochastic SIRS Epidemic Model with Regime-Switching Diffusions

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Hongxia Liu ◽  
Juan Li ◽  
Mengnan Chi ◽  
Jinlei Liu ◽  
Wencai Zhao
Keyword(s):  
Numerical Simulations ◽  
Positive Solution ◽  
Epidemic Model ◽  
Regime Switching ◽  
Sufficient Conditions ◽  
Threshold Parameter ◽  
Sirs Epidemic Model ◽  
Switching Diffusions ◽  
White Noises ◽  
Stochastic Sirs Epidemic Model

In this paper, taking both white noises and colored noises into consideration, a nonlinear stochastic SIRS epidemic model with regime switching is explored. The threshold parameter R s is found, and we investigate sufficient conditions for the existence of the ergodic stationary distribution of the positive solution. Finally, some numerical simulations are also carried out to demonstrate the analytical results.

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