Positive solutions for a three-species competition system with diffusion—II. The case of equal birth rates

1995 ◽  
Vol 24 (3) ◽  
pp. 359-373 ◽  
Author(s):  
E.N. Dancer ◽  
Yihong Du
Keyword(s):  
Positive Solutions ◽  
Species Competition ◽  
Birth Rates ◽  
Competition System

Asymptotic Behavior of a Stochastic Two-Species Competition System with Impulsive Effects

2018 ◽  
Vol 19 (5) ◽  
pp. 427-438
Author(s):  
Pan Wang ◽  
Bing Li ◽  
Yongkun Li
Keyword(s):  
Asymptotic Behavior ◽  
Global Attractivity ◽  
Sufficient Conditions ◽  
Impulsive Effects ◽  
Species Competition ◽  
Stochastic Permanence ◽  
Competition System ◽  
Stochastic Boundedness ◽  
Dynamical Properties ◽  
Persistent In Mean

AbstractIn this paper, we consider a stochastic two-species competition system with impulsive effects. Some dynamical properties are investigated and sufficient conditions for the stochastic boundedness, stochastic permanence and global attractivity are established. Under some conditions, we conclude that the stochastic model is persistent in mean and extinction. An example is given to illustrate the main result.

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