Remarks on stochastic permanence of population models |
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| Authors: | Jingliang Lv Ke Wang Xiaoling Zou |
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| Affiliation: | 1. Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, PR China |
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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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| Keywords: | Lotka&ndash Volterra Stochastic permanence Chebyshev inequality Almost sure stochastic permanence |
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