Well-Posedness and Asymptotic Behaviors for a Predator-Prey System with Lévy Noise |
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Authors: | Sheng Wang Linshan Wang Tengda Wei |
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Institution: | 1.College of Oceanic and Atmospheric Sciences,Ocean University of China,Qingdao,People’s Republic of China;2.School of Mathematics,Ocean University of China,Qingdao,People’s Republic of China |
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Abstract: | In this paper, well-posedness and asymptotic behaviors for a predator-prey system with Lévy noise are studied by using stochastic analytical techniques. Firstly, the existence and uniqueness of positive global solution with positive initial value is proved. Then, stochastic permanence for the system is investigated. Finally, persistence in mean and extinction for the system are discussed and some numerical simulations are provided to support our results. |
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