Population dispersal and Allee effect

被引：12
|
作者：
Wang W. [1 ]
机构：
[1] Key Laboratory of Eco-environments in Three Gorges Reservoir Region, School of Mathematics and Statistics, Southwest University, Chongqing
来源：
Ricerche di Matematica | 2016年 / 65卷 / 2期
基金：
中国国家自然科学基金;
关键词：
Allee; Coexistence; Dispersal; Extinction; Patch;
D O I：
10.1007/s11587-016-0273-0
中图分类号：
学科分类号：
摘要：
This paper studies influences of population dispersal on the dynamics of populations that live in patches and grow under Allee effect. Analytical conditions for the global stability of the model in the case of weak Allee effect are established by using the theory of monotonic dynamical systems. Numerical simulations are provided for the case of two patches and strong Allee effect, which reveal that a moderate migration to the better patch is beneficial to overall population, whereas a larger one is harmful. © 2016, Università degli Studi di Napoli "Federico II".
引用
收藏
页码：535 / 548
页数：13
相关论文
共 50 条
  • [31] Impact of Colored Noise on Population Model with Allee Effect
    Yang, Ya-Chao
    Li, Dong-Xi
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (01) : 107 - 116
  • [32] Dynamics of a stochastic population model with Allee effect and jumps
    Liu, Rong
    Liu, Guirong
    [J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2022, 17
  • [33] Analysis and control of a delayed population model with an Allee effect
    Zhao, Lichun
    Liu, Jingna
    Zhang, Meng
    Liu, Bing
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2022, 15 (05)
  • [34] Modeling and dynamical analysis of an ecological population with the Allee effect
    Abbasi, Muhammad Aqib
    Albalawi, Olayan
    Niaz, Rizwan
    [J]. INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2024,
  • [35] Impact of Colored Noise on Population Model with Allee Effect
    杨雅超
    李东喜
    [J]. Communications in Theoretical Physics, 2019, 71 (01) : 107 - 116
  • [36] Dynamics of a Scalar Population Model with Delayed Allee Effect
    Chang, Xiaoyuan
    Shi, Junping
    Zhang, Jimin
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (12):
  • [37] The Allee Effect in Population Dynamics with a Seasonal Reproduction Pattern
    Neverova G.P.
    Khlebopros R.G.
    Frisman E.Y.
    [J]. Biophysics, 2017, 62 (6) : 967 - 976
  • [38] Stability analysis of a population dynamics model with Allee effect
    Celik, Canan
    [J]. WCECS 2007: WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, 2007, : 7 - 11
  • [39] Anticipative Chaos Control in Population Models with the Allee Effect
    Crisan, M.
    Erzse, G.
    [J]. ICCES: 2008 INTERNATIONAL CONFERENCE ON COMPUTER ENGINEERING & SYSTEMS, 2007, : 216 - 221
  • [40] Transitions in a logistic population model incorporating an Allee effect
    Idlango, M. A.
    Gear, J. A.
    Shepherd, J. J.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 4901 - 4911
12345