Exponential Ergodicity for SDEs Driven by α-Stable Processes with Markovian Switching in Wasserstein Distances

2017 ◽  
Vol 49 (4) ◽  
pp. 503-526 ◽  
Author(s):  
Jinying Tong ◽  
Xinghu Jin ◽  
Zhenzhong Zhang
2021 ◽  
Vol 58 (2) ◽  
pp. 505-522
Author(s):  
Zhenzhong Zhang ◽  
Jinying Tong ◽  
Qingting Meng ◽  
You Liang

AbstractWe focus on the population dynamics driven by two classes of truncated $\alpha$-stable processes with Markovian switching. Almost necessary and sufficient conditions for the ergodicity of the proposed models are provided. Also, these results illustrate the impact on ergodicity and extinct conditions as the parameter $\alpha$ tends to 2.


2017 ◽  
Vol 97 (7) ◽  
pp. 1187-1208 ◽  
Author(s):  
Zhenzhong Zhang ◽  
Xinghu Jin ◽  
Jinying Tong

2017 ◽  
Vol 125 ◽  
pp. 149-159 ◽  
Author(s):  
Zhenzhong Zhang ◽  
Xuekang Zhang ◽  
Jinying Tong

2018 ◽  
Vol 48 (10) ◽  
pp. 2446-2458 ◽  
Author(s):  
Jinying Tong ◽  
Xuan Ma ◽  
Zhenzhong Zhang ◽  
Enwen Zhu

Author(s):  
Hong-Bin Chen ◽  
Jonathan Niles-Weed

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