Asymptotic Behavior of the Stationary Distributions in the GI/PH/c Queue with Heterogeneous Servers.

1980 ◽  
Author(s):  
Marcel F. Neuts ◽  
Yukio Takahashi
Keyword(s):  
Asymptotic Behavior ◽  
Heterogeneous Servers ◽  
Stationary Distributions

scholarly journals Asymptotic Behavior Analysis for a Three-Species Food Chain Stochastic Model with Regime Switching

2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Junmei Liu ◽  
Yonggang Ma
Keyword(s):  
Asymptotic Behavior ◽  
Lyapunov Function ◽  
Stochastic Model ◽  
Numerical Simulations ◽  
Behavior Analysis ◽  
Food Chain ◽  
Regime Switching ◽  
Sufficient Conditions ◽  
Stationary Distributions ◽  
Theoretical Results

This paper discusses the asymptotic behavior of a class of three-species stochastic model with regime switching. Using the Lyapunov function, we first obtain sufficient conditions for extinction and average time persistence. Then, we prove sufficient conditions for the existence of stationary distributions of populations, and they are ergodic. Numerical simulations are carried out to support our theoretical results.

Sign in / Sign up

Export Citation Format

Share Document