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

页码：19351 / 19363

页数：13

共 50 条

[31] Bifurcations in a Diffusive Predator-Prey Model with Beddington-DeAngelis Functional Response and Nonselective Harvesting [J].

Sun, Xiuli ;

Yuan, Rong ;

Wang, Luan .

JOURNAL OF NONLINEAR SCIENCE, 2019, 29 (01) :287-318

[32] Stochastic bifurcations, a necessary and sufficient condition for a stochastic Beddington-DeAngelis predator-prey model [J].

Zou, Xiaoling ;

Li, Qingwei ;

Lv, Jingliang .

APPLIED MATHEMATICS LETTERS, 2021, 117

[33] Dynamic Behavior of a Predator-Prey Model with Double Delays and Beddington-DeAngelis Functional Response [J].

Cui, Minjuan ;

Shao, Yuanfu ;

Xue, Renxiu ;

Zhao, Jinxing .

AXIOMS, 2023, 12 (01)

[34] Positive periodic solutions of neutral predator-prey model with Beddington-DeAngelis functional response [J].

Liu, Guirong ;

Yan, Jurang .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) :2317-2322

[35] Analysis and Numerical Simulation of a Predator-prey Model with Beddington-DeAngelis Function Response and Diffusion [J].

Xu, Shi-Ying ;

Wei, Yu-Min .

ICIC 2009: SECOND INTERNATIONAL CONFERENCE ON INFORMATION AND COMPUTING SCIENCE, VOL 3, PROCEEDINGS, 2009, :142-145

[36] Hopf Bifurcations in a Predator-Prey Diffusion System with Beddington-DeAngelis Response [J].

Jia-Fang Zhang ;

Wan-Tong Li ;

Xiang-Ping Yan .

Acta Applicandae Mathematicae, 2011, 115 :91-104

[37] Bifurcations in diffusive predator-prey systems with Beddington-DeAngelis functional response [J].

Wang, Zhihui ;

Wang, Yuanshi .

NONLINEAR DYNAMICS, 2021, 105 (01) :1045-1061

[38] Qualitative analysis of Beddington-DeAngelis type impulsive predator-prey models [J].

Baek, H. K. .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) :1312-1322

[39] Turing Instability and Bifurcation in a Diffusion Predator-Prey Model with Beddington-DeAngelis Functional Response [J].

Tan, Wei ;

Yu, Wenwu ;

Hayat, Tasawar ;

Alsaadi, Fuad ;

Fardoun, Habib M. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (09)

[40] DYNAMICS OF A STOCHASTIC PREDATOR-PREY MODEL WITH FEAR EFFECT AND BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE [J].

Liu, Meng ;

Deng, Meiling ;

Ji, Weiming .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2025, 30 (08) :3084-3103

← 1 2 3 4 5 →