STABILITY ANALYSIS OF HARVESTING IN A PREDATOR-PREY MODEL

被引：51
|
作者：
AZAR, C [1 ]
HOLMBERG, J [1 ]
LINDGREN, K [1 ]
机构：
[1] UNIV GOTHENBURG,S-41296 GOTHENBURG,SWEDEN
来源：
JOURNAL OF THEORETICAL BIOLOGY | 1995年 / 174卷 / 01期
关键词：
D O I：
10.1006/jtbi.1995.0076
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The stability properties are studied for a Lotka-Volterra type two-prey-one-predator model where the predator is harvested. Two different harvesting strategies are applied, constant harvest quota and constant harvest effort. The temporal behaviour of the population dynamics for different harvest intensities is investigated, which includes phenomena such as periodic and chaotic oscillations. It is demonstrated that a constant harvest quota on the predator may destabilize a system that is stable when a constant harvest effort is applied. For the studied region of the parameter space, we show that an increased harvest quota leads to an increased stationary abundancy of the predator.
引用
收藏
页码：13 / 19
页数：7
相关论文
共 50 条
  • [1] Global Stability Analysis of Predator-Prey Model with Harvesting and Delay
    Ouncharoen, R.
    Pinjai, S.
    Dumrongpokaphan, Th.
    Lenbury, Y.
    [J]. THAI JOURNAL OF MATHEMATICS, 2010, 8 (03): : 589 - 605
  • [2] Stability and bifurcation analysis of discrete predator-prey model with nonlinear prey harvesting and prey refuge
    Shu, Qing
    Xie, Jingli
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (07) : 3589 - 3604
  • [3] STABILITY ANALYSIS OF A PREDATOR-PREY MODEL
    Jiang, Zhichao
    Guo, Zhaozhuang
    Sun, Yuefang
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2012, 5 (01)
  • [4] Stability Analysis and Numerical Computation of the Fractional Predator-Prey Model with the Harvesting Rate
    Yavuz, Mehmet
    Sene, Ndolane
    [J]. FRACTAL AND FRACTIONAL, 2020, 4 (03) : 1 - 22
  • [5] Stability analysis of harvesting strategies in a cellular automata based predator-prey model
    Chen, Qiuwen
    Mao, Jingqiao
    Li, Weifeng
    [J]. CELLULAR AUTOMATA, PROCEEDINGS, 2006, 4173 : 268 - 276
  • [6] Bifurcation and stability analysis of a ratio-dependent predator-prey model with predator harvesting rate
    Lajmiri, Z.
    Ghaziani, R. Khoshsiar
    Orak, Iman
    [J]. CHAOS SOLITONS & FRACTALS, 2018, 106 : 193 - 200
  • [7] Hopf bifurcation and global stability of a delayed predator-prey model with prey harvesting
    Li, Yan
    Wang, Mingxin
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (05) : 398 - 410
  • [8] Constant Harvesting in the Predator-Prey Model
    Chrobok, Viktor
    [J]. PROCEEDINGS OF THE 29TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS 2011, PTS I AND II, 2011, : 296 - 299
  • [9] Stability analysis in a delayed predator-prey model
    Jiang, Zhichao
    Chen, Hui
    [J]. ADVANCED MANUFACTURING TECHNOLOGY, PTS 1-4, 2012, 472-475 : 2940 - +
  • [10] Bifurcation analysis of a diffusive predator-prey model with prey social behavior and predator harvesting
    Mezouaghi, Abdelheq
    Djilali, Salih
    Bentout, Soufiane
    Biroud, Kheireddine
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (02) : 718 - 731
12345