Extinction and strong persistence in the Beddington-DeAngelis predator-prey random model

被引：1
|
作者：
Zhu, Huijian [1 ]
Li, Lijie [1 ]
Pan, Weiquan [1 ]
机构：
[1] Yulin Normal Univ, Sch Math & Stat, Yulin, Guangxi, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 18期
关键词：
compact attracting set; forward dynamics; Ornstein-Uhlenback process; predator-prey model; CHEMOSTAT MODELS; INPUT FLOW; GROWTH; DISTURBANCES; FLUCTUATIONS; STABILITY; DYNAMICS;
D O I：
10.1002/mma.9629
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies a predator-prey model with a Beddington-DeAngelis type functional response under the stationary Ornstein-Uhlenback process. First, we prove the existence and uniqueness of the global positive solution for the given system for any initial datum. Second, we turn to its internal structures and establish the existence of a compact forward-absorbing set as well as a forward attracting one. Finally, we carry out some numerical simulations to support the theoretical results.
引用
收藏
页码：19351 / 19363
页数：13
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