Analysis of a stochastic predator-prey system with fear effect and Levy noise

被引：1
|
作者：
Xue, Renxiu [1 ]
Shao, Yuanfu [1 ]
Cui, Minjuan [1 ]
机构：
[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China
来源：
ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2022年 / 2022卷 / 01期
关键词：
Fear effect; Levy noise; Persistence and extinction; Stability in distribution; MODEL; RISK; STABILITY; SURVIVAL; BEHAVIOR;
D O I：
10.1186/s13662-022-03749-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies a stochastic predator-prey model with Beddington-DeAngelis functional response, fear effect, and Levy noise, where the fear is of prey induced by predator. First, we use Ito's formula to prove the existence and uniqueness of a global positive solution and its moment boundedness. Next, sufficient conditions for the persistence and extinction of both species are given. We further investigate the stability in distribution of our system. Finally, we verify our analytical results by exhaustive numerical simulations.
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页数：24
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