Dynamics of stochastic hybrid Gilpin-Ayala system with impulsive perturbations
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Authors
Ruihua Wu
- College of Science, China University of Petroleum (East China), Qingdao 266555, P. R. China.
Abstract
This paper is mainly concerned with the dynamics of the stochastic Gilpin-Ayala model under regime switching with
impulsive perturbations. The goal is to analyze the effects of Markov chain and impulse on the dynamics. Some asymptotic
properties are considered and sufficient criteria for stochastic permanence, extinction, non-persistence in the mean and weak
persistence are obtained. The critical value among the extinction, non-persistence in the mean and weak persistence is explored.
Our results demonstrate that the dynamics of the model have close relations with the impulse and the stationary distribution of
the Markov chain.
Share and Cite
ISRP Style
Ruihua Wu, Dynamics of stochastic hybrid Gilpin-Ayala system with impulsive perturbations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 436--450
AMA Style
Wu Ruihua, Dynamics of stochastic hybrid Gilpin-Ayala system with impulsive perturbations. J. Nonlinear Sci. Appl. (2017); 10(2):436--450
Chicago/Turabian Style
Wu, Ruihua. "Dynamics of stochastic hybrid Gilpin-Ayala system with impulsive perturbations." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 436--450
Keywords
- Gilpin-Ayala model
- Markov chain
- impulsive perturbations
- stochastic permanence
- extinction.
MSC
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