Remarks on stochastic permanence of population models
This paper examines the asymptotic behavior of the stochastic Lotka–Volterra model under Markovian switching. We show that the stochastic Lotka–Volterra model is stochastically permanent. Moreover, we give another type of stochastic permanence, and consider the relationship of two types of stochasti...
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| Published in | Journal of mathematical analysis and applications Vol. 408; no. 2; pp. 561 - 571 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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15.12.2013
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| Abstract | This paper examines the asymptotic behavior of the stochastic Lotka–Volterra model under Markovian switching. We show that the stochastic Lotka–Volterra model is stochastically permanent. Moreover, we give another type of stochastic permanence, and consider the relationship of two types of stochastic permanence under white noise perturbation. |
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| AbstractList | This paper examines the asymptotic behavior of the stochastic Lotka–Volterra model under Markovian switching. We show that the stochastic Lotka–Volterra model is stochastically permanent. Moreover, we give another type of stochastic permanence, and consider the relationship of two types of stochastic permanence under white noise perturbation. |
| Author | Zou, Xiaoling Wang, Ke Lv, Jingliang |
| Author_xml | – sequence: 1 givenname: Jingliang surname: Lv fullname: Lv, Jingliang email: yxmliang@yahoo.com.cn, ljl3188@163.com organization: Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China – sequence: 2 givenname: Ke surname: Wang fullname: Wang, Ke organization: Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China – sequence: 3 givenname: Xiaoling surname: Zou fullname: Zou, Xiaoling organization: Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China |
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| Keywords | Almost sure stochastic permanence Lotka–Volterra Stochastic permanence Chebyshev inequality |
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| SubjectTerms | Almost sure stochastic permanence Chebyshev inequality Lotka–Volterra Stochastic permanence |
| Title | Remarks on stochastic permanence of population models |
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