Dynamics of a ratio-dependent prey-predator system with selective harvesting of predator species

被引:3
|
作者
Kar T.K. [1 ]
机构
[1] Department of Mathematics, Bengal Engineering and Science University, Shibpur
来源
J. Appl. Math. Comp. | 2007年 / 1-2卷 / 385-395期
关键词
Delay; Harvesting; Hopf-bifurcation; Limit cycles; Ratio-dependent;
D O I
10.1007/BF02831985
中图分类号
学科分类号
摘要
The dynamics of a prey-predator system, where predator population has two stages, juvenile and adult with harvesting are modelled by a system of delay differential equation. Our analysis shows that, both the delay and harvesting effort may play a significant role on the stability of the system. Numerical simulations are given to illustrate the results. © 2007 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
引用
收藏
页码:385 / 395
页数:10
相关论文
共 50 条
  • [1] Dynamics in a ratio-dependent predator-prey model with predator harvesting
    Xiao, Dongmei
    Li, Wenxia
    Han, Maoan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 14 - 29
  • [2] Deterministic and stochastic analysis of a ratio-dependent prey-predator system
    Maiti, A.
    Samanta, G. P.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2006, 37 (12) : 817 - 826
  • [3] Chaos in seasonally perturbed ratio-dependent prey-predator system
    Gakkhar, S
    Naji, RK
    CHAOS SOLITONS & FRACTALS, 2003, 15 (01) : 107 - 118
  • [4] Dynamics for a Ratio-Dependent Prey-Predator Model with Different Free Boundaries
    Liu, Lingyu
    Li, Xiaobo
    Li, Pengcheng
    MATHEMATICS, 2024, 12 (12)
  • [5] Pattern Formation and analysis of reaction-diffusion ratio-dependent prey-predator model with harvesting in predator
    Ahmed, Nauman
    Yasin, Muhammad Waqas
    Baleanu, Dumitru
    Tintareanu-Mircea, Ovidiu
    Iqbal, Muhammad
    Akgul, Ali
    CHAOS SOLITONS & FRACTALS, 2024, 186
  • [6] Stability analysis of ratio-dependent prey-predator models
    Rao, VSH
    Rao, PRS
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2005, 6 (02) : 245 - 262
  • [7] Dynamics in a diffusive predator-prey system with ratio-dependent predator influence
    Zou, Rong
    Guo, Shangjiang
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (04) : 1237 - 1258
  • [8] On the spatiotemporal structures of ratio-dependent prey-predator model of ecological system
    Baber, Muhammad Z.
    Seadawy, Aly R.
    Qasim, Muhammad
    Iqbal, Muhammad S.
    Rizvi, Syed T. R.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (04)
  • [9] DYNAMICS OF RATIO-DEPENDENT PREDATOR-PREY MODELS WITH NONCONSTANT HARVESTING
    Leard, Benjamin
    Lewis, Catherine
    Rebaza, Jorge
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2008, 1 (02): : 303 - 315
  • [10] Homoclinic bifurcation of a ratio-dependent predator–prey system with impulsive harvesting
    Chunjin Wei
    Junnan Liu
    Lansun Chen
    Nonlinear Dynamics, 2017, 89 : 2001 - 2012