Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response

被引：11

作者：

Lin, Guojian ^{[1
]}

Hong, Yiguang ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 02期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

stability; Hopf bifurcation; distributed delay; predator-prey system; normal form; center manifold theorem;

D O I：

10.1016/j.amc.2007.02.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Beddington-DeAngelis predator-prey system with distributed delay is studied in this paper. At first, the positive equilibrium and its local stability are investigated. Then, with the mean,delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. The bifurcating periodic solutions are analyzed by means of the normal form and center manifold theorems. Finally, numerical simulations are also given to illustrate the results. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1296 / 1311

页数：16

共 50 条

[31] A stage-structured predator-prey model with Beddington-DeAngelis functional response
Cai L.
Yu J.
Zhu G.
Journal of Applied Mathematics and Computing, 2008, 26 (1-2) : 85 - 103
[32] Qualitative analysis of predator-prey models with Beddington-DeAngelis functional response and diffusion
Chen, WY
Wang, MX
MATHEMATICAL AND COMPUTER MODELLING, 2005, 42 (1-2) : 31 - 44
[33] EFFECT OF NON-LINEAR HARVESTING AND DELAY ON A PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE
Chen, Miqin
Yang, Wensheng
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2024,
[34] Dynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response
Li, Shuang
Zhang, Xinan
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[35] Almost Periodic Sequence Solutions of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
Du, Zengji
Li, Wenbin
ABSTRACT AND APPLIED ANALYSIS, 2014,
[36] A predator-prey model with generic birth and death rates for the predator and Beddington-DeAngelis functional response
Ivanov, Tihomir
Dimitrova, Neli
MATHEMATICS AND COMPUTERS IN SIMULATION, 2017, 133 : 111 - 123
[37] A detailed study of the Beddington-DeAngelis predator-prey model
Haque, Mainul
MATHEMATICAL BIOSCIENCES, 2011, 234 (01) : 1 - 16
[38] Positive periodic solutions of neutral predator-prey model with Beddington-DeAngelis functional response
Liu, Guirong
Yan, Jurang
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) : 2317 - 2322
[39] Asymptotic analysis for an age-structured predator-prey model with Beddington-Deangelis functional response
Yuan, Yuan
Fu, Xianlong
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 85
[40] BIFURCATION AND SPATIAL PATTERNS DRIVEN BY PREDATOR-TAXIS IN A PREDATOR-PREY SYSTEM WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE
Sun, Zhongyuan
Jiang, Weihua
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (10): : 4043 - 4070

← 1 2 3 4 5 →