Well-Posedness and Asymptotic Behaviors for a Predator-Prey System with Lévy Noise

Sheng Wang (), Linshan Wang () and Tengda Wei ()
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Sheng Wang: Ocean University of China
Linshan Wang: Ocean University of China
Tengda Wei: Ocean University of China

Methodology and Computing in Applied Probability, 2017, vol. 19, issue 3, 715-725

Abstract: 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.

Keywords: Predator-prey; Lévy noise; Stochastic permanence; Persistence in mean; 60H10; 60H30 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s11009-016-9509-4

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