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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Wang, S., Wang, L. & Wei, T. Well-Posedness and Asymptotic Behaviors for a Predator-Prey System with Lévy Noise. Methodol Comput Appl Probab 19, 715–725 (2017). https://doi.org/10.1007/s11009-016-9509-4
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DOI: https://doi.org/10.1007/s11009-016-9509-4