Permanence of a Delayed Ratio-dependent Predator-prey Model with Prey Dispersal

被引:0
|
作者
Li, Zuxiong [1 ]
Chen, Lansun [1 ]
Huang, Jianmin
机构
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
关键词
stage structure; ratio-dependence; permanence; time delay; dispersion;
D O I
暂无
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A periodic and delayed ratio-dependent predator-prey system with prey dispersal and stage structure for predator is investigated. It is assumed that immature individual and mature individual of the predator species are divided by a fixed age, and that immature predator do not have the ability to attack prey, and that predator species is confined to one of the patches while the prey species can disperse between two patches. We discuss the uniform persistence and extinction of adult predator of the model, sufficient conditions are derived for the permanence of the model.
引用
收藏
页码:897 / 901
页数:5
相关论文
共 50 条
  • [21] Parametric analysis of the ratio-dependent predator-prey model
    Berezovskaya, F
    Karev, G
    Arditi, R
    JOURNAL OF MATHEMATICAL BIOLOGY, 2001, 43 (03) : 221 - 246
  • [22] A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH DELAY AND HARVESTING
    Misra, A. K.
    Dubey, B.
    JOURNAL OF BIOLOGICAL SYSTEMS, 2010, 18 (02) : 437 - 453
  • [23] Dynamics and Bifurcations of a Ratio-dependent Predator-prey Model
    Azizi, P.
    Ghaziani, R. Khoshsiar
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [24] Stability Analysis of a Ratio-Dependent Predator-Prey Model
    Yao, Pei
    Wang, Zuocheng
    Wang, Lingshu
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [25] Pattern selection in a ratio-dependent predator-prey model
    Wang, Weiming
    Lin, Yezhi
    Rao, Feng
    Zhang, Lei
    Tan, Yongji
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
  • [26] Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response
    Wang, LL
    Li, WT
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 162 (02) : 341 - 357
  • [27] Note on a diffusive ratio-dependent predator-prey model
    Department of Mathematics, Southeast University, Nanjing 210096, China
    不详
    J. Southeast Univ. Engl. Ed., 2006, 2 (294-296):
  • [28] Influence of fear in a ratio-dependent predator-prey model
    Ali, Nijamuddin
    INTERNATIONAL JOURNAL OF ECOLOGICAL ECONOMICS & STATISTICS, 2022, 43 (02) : 86 - 97
  • [29] An analytical foundation of the ratio-dependent predator-prey model
    Eichner T.
    Pethig R.
    Journal of Bioeconomics, 2006, 8 (2) : 121 - 132
  • [30] DYNAMICS OF A STOCHASTIC RATIO-DEPENDENT PREDATOR-PREY MODEL
    Nguyen Thi Hoai Linh
    Ta Viet Ton
    ANALYSIS AND APPLICATIONS, 2011, 9 (03) : 329 - 344