Analysis of a stochastic predator–prey system with fear effect and Lévy noise

نویسندگان

چکیده

Abstract This paper studies a stochastic predator–prey model with Beddington–DeAngelis functional response, fear effect, and Lévy noise, where the is of prey induced by predator. First, we use Itô’s formula to prove existence uniqueness global positive solution its moment boundedness. Next, sufficient conditions for persistence extinction both species are given. We further investigate stability in distribution our system. Finally, verify analytical results exhaustive numerical simulations.

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ژورنال

عنوان ژورنال: Advances in Continuous and Discrete Models

سال: 2022

ISSN: ['2731-4235']

DOI: https://doi.org/10.1186/s13662-022-03749-x