Analysis on Bifurcation for a Predator-Prey Model with Beddington-DeAngelis Functional Response and Non-Selective Harvesting

被引：4
|
作者：
Wang, Rong [1 ]
Jia, Yunfeng [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2016年 / 143卷 / 01期
基金：
美国国家科学基金会;
关键词：
Predator-Prey model; Bifurcation; Positive solution; Beddington-DeAngelis functional response; Non-Selective harvesting; QUALITATIVE-ANALYSIS; POSITIVE SOLUTIONS; SYSTEM; DIFFUSION; STABILITY; EXISTENCE; DYNAMICS;
D O I：
10.1007/s10440-015-0025-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The biomathematical model is an important tool in exploring the dynamic behavior of different species. In this paper, we deal with a predator-prey model with Beddington-DeAngelis functional response and non-selective harvesting. We discuss the existence and stability of the local bifurcation solution, which emanates from the semi-trivial solution. Moreover, by using the boundedness of positive solutions and the global bifurcation theory, we find that the local bifurcation branch can be extended to the global bifurcation.
引用
收藏
页码：15 / 27
页数：13
相关论文
共 50 条
  • [1] Analysis on Bifurcation for a Predator-Prey Model with Beddington-DeAngelis Functional Response and Non-Selective Harvesting
    Rong Wang
    Yunfeng Jia
    Acta Applicandae Mathematicae, 2016, 143 : 15 - 27
  • [2] Bifurcation analysis of a predator-prey model with Beddington-DeAngelis functional response and predator competition
    Zhang, Yuyue
    Huang, Jicai
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (16) : 9894 - 9927
  • [3] Bifurcations in a Diffusive Predator-Prey Model with Beddington-DeAngelis Functional Response and Nonselective Harvesting
    Sun, Xiuli
    Yuan, Rong
    Wang, Luan
    JOURNAL OF NONLINEAR SCIENCE, 2019, 29 (01) : 287 - 318
  • [4] Bifurcation analysis in a singular Beddington-DeAngelis predator-prey model with two delays and nonlinear predator harvesting
    Meng, Xin-You
    Wu, Yu-Qian
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (04) : 2668 - 2696
  • [5] Turing Instability and Bifurcation in a Diffusion Predator-Prey Model with Beddington-DeAngelis Functional Response
    Tan, Wei
    Yu, Wenwu
    Hayat, Tasawar
    Alsaadi, Fuad
    Fardoun, Habib M.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (09):
  • [6] BIFURCATION ANALYSIS OF A DIFFUSIVE PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE
    Song, Qiannan
    Yang, Ruizhi
    Zhang, Chunrui
    Wang, Lei
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (02): : 920 - 936
  • [7] Spatial Patterns of a Predator-Prey Model with Beddington-DeAngelis Functional Response
    Wang, Yu-Xia
    Li, Wan-Tong
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (11):
  • [8] BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL WITH STRONG ALLEE EFFECT AND BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE
    Mulugeta, Biruk tafesse
    Yu, L. I. P. I. N. G.
    Yuan, Q. I. G. A. N. G.
    Ren, J. I. N. G. L. I.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (03): : 1938 - 1963
  • [9] Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting
    Zhao, Zhihong
    Li, Yan
    Feng, Zhaosheng
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (02) : 1629 - 1652
  • [10] Protection zone in a diffusive predator-prey model with Beddington-DeAngelis functional response
    He, Xiao
    Zheng, Sining
    JOURNAL OF MATHEMATICAL BIOLOGY, 2017, 75 (01) : 239 - 257
12345