Ergodicity for population dynamics driven by stable processes with Markovian switching

2018 ◽  
Vol 48 (10) ◽  
pp. 2446-2458 ◽  
Author(s):  
Jinying Tong ◽  
Xuan Ma ◽  
Zhenzhong Zhang ◽  
Enwen Zhu
Keyword(s):  
Population Dynamics ◽  
Markovian Switching ◽  
Stable Processes

Population dynamics driven by truncated stable processes with Markovian switching

2021 ◽  
Vol 58 (2) ◽  
pp. 505-522
Author(s):  
Zhenzhong Zhang ◽  
Jinying Tong ◽  
Qingting Meng ◽  
You Liang
Keyword(s):  
Population Dynamics ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Markovian Switching ◽  
Stable Processes ◽  
Necessary And Sufficient ◽  
The Impact

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.

Ergodicity and transience of SDEs driven by -stable processes with Markovian switching

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

Exponential ergodicity for population dynamics driven byα-stable processes

2017 ◽  
Vol 125 ◽  
pp. 149-159 ◽  
Author(s):  
Zhenzhong Zhang ◽  
Xuekang Zhang ◽  
Jinying Tong
Keyword(s):  
Population Dynamics ◽  
Stable Processes ◽  
Exponential Ergodicity
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