scholarly journals Strong Solutions and Strong Feller Properties for Regime-Switching Diffusion Processes in An Infinite State Space

2015 ◽  
Vol 53 (4) ◽  
pp. 2462-2479 ◽  
Author(s):  
Jinghai Shao
Keyword(s):  
State Space ◽  
Regime Switching ◽  
Diffusion Processes ◽  
Strong Solutions ◽  
Switching Diffusion ◽  
Infinite State ◽  
Strong Feller

Permanence and extinction of stochastic regime-switching mutualism model

2020 ◽  
Vol 13 (04) ◽  
pp. 2050028
Author(s):  
Guangying Lv ◽  
Beibei Zhang
Keyword(s):  
Regime Switching ◽  
Diffusion Processes ◽  
Sufficient Conditions ◽  
Switching Diffusion ◽  
Random Switching ◽  
The Difference ◽  
Mutualism Model

This paper is concerned with the permanence and extinction of a stochastic regime-switching mutualism model. We aim to find the difference between the stochastic mutualism model with regime-switching and without regime-switching. By studying ergodicity of regime-switching diffusion processes, we establish the sufficient conditions to estimate the permanence and extinction of a species in a random switching environment. Moreover, compared with the system without switching, the advantages of the stochastic regime-switching mutualism model are given.

Sign in / Sign up

Export Citation Format

Share Document