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• W2735163185 abstract "The existence and uniqueness of stationary distribution and ergodic properties of a stochastic system are obtained. Especially, different from the existing methods, a new method is introduced to analyze almost sure permanence and uniform boundedness of the stochastic predator–prey model. This new idea is based on geometric structure of invariant set for a stochastic system. More specifically, we obtain our main conclusions by showing the invariant set for the stochastic population system lies in the interior of the first quadrant. It is interesting and surprising that the stochastic population model can guarantee a uniform boundedness almost surely. Some numerical simulations are carried out to support our results." @default.
• W2735163185 created "2017-07-21" @default.
• W2735163185 creator A5033286545 @default.
• W2735163185 creator A5053551341 @default.
• W2735163185 date "2017-09-01" @default.
• W2735163185 modified "2023-10-18" @default.
• W2735163185 title "A new idea on almost sure permanence and uniform boundedness for a stochastic predator–prey model" @default.
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• W2735163185 doi "https://doi.org/10.1016/j.jfranklin.2017.07.012" @default.
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