scholarly journals Persistence and extinction of a stochastic delay Logistic equation under regime switching

2013 ◽  
Vol 26 (1) ◽  
pp. 140-144 ◽  
Author(s):  
Meng Liu ◽  
Wenxue Li ◽  
Ke Wang
Keyword(s):  
Regime Switching ◽  
Logistic Equation ◽  
Stochastic Delay ◽  
Delay Logistic Equation

scholarly journals Stochastic Delay Population Dynamics under Regime Switching: Permanence and Asymptotic Estimation

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Zheng Wu ◽  
Hao Huang ◽  
Lianglong Wang
Keyword(s):  
Population Dynamics ◽  
Random Environment ◽  
Regime Switching ◽  
Matrix Method ◽  
Volterra Model ◽  
Function Technique ◽  
Stochastic Delay ◽  
Switching Diffusion ◽  
Asymptotic Estimation ◽  
Diffusion In Random Environment

This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. Permanence and asymptotic estimations of solutions are investigated by virtue of V-function technique, M-matrix method, and Chebyshev's inequality. Finally, an example is given to illustrate the main results.

scholarly journals A stochastic delay Gilpin-Ayala competition system under regime switching

Filomat ◽  
2013 ◽  
Vol 27 (6) ◽  
pp. 955-964 ◽  
Author(s):  
Yiliang Liu ◽  
Qun Liu
Keyword(s):  
Regime Switching ◽  
Stochastic Delay ◽  
Competition System

scholarly journals Nonoscillation in a delay-logistic equation

1985 ◽  
Vol 43 (2) ◽  
pp. 189-197 ◽  
Author(s):  
K. Gopalsamy
Keyword(s):  
Logistic Equation ◽  
Delay Logistic Equation
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