Ruihua Wu, Xiaoling Zou, Ke Wang
Abstract:
This article concerns the stochastic logistic models under regime
switching with Levy noise. In the model, the color noise and Levy
noise are taken into account at the same time. This model is new and more
feasible and more accordance with the actual. Some dynamical behaviors are
investigated and sufficient conditions for stochastic permanence, extinction,
non-persistence in the mean and weak persistence are established.
The critical value among the extinction, non-persistence in the mean and
weak persistence is obtained. Our results demonstrate that the asymptotic
properties of the model have close relations with the Levy noise and
stationary distribution of the color noise.
Submitted December 4, 2013. Published March 19, 2014.
Math Subject Classifications: 60H10, 60J75, 60J28.
Key Words: Logistic equation; Markov chain; Levy noise; extinction;
stochastic permanence.
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Ruihua Wu Department of Mathematics Harbin Institute of Technology, Weihai 264209, China. College of Science, China University of Petroleum (East China) Qingdao 266555, China email: wu_ruihua@hotmail.com, wu_ruihua@upc.edu.cn |
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Xiaoling Zou Department of Mathematics, Harbin Institute of Technology Weihai 264209, China email: zouxiaoling1025@126.com |
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Ke Wang Department of Mathematics Harbin Institute of Technology Weihai 264209, China email: w_k@hotmail.com |
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