Impact of Swapping Migration And Allee Effect in Single-species Model

被引：0
|
作者：
Chen, Ninghua [1 ]
Chen, Lijuan [2 ]
Xu, Junyan [2 ]
Wu, Chunchen [3 ]
机构：
[1] ollege of Information Science, Fujian Preschool Education College, Fujian, Fuzhou,350007, China
[2] School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou,350007, China
[3] Department of Date Science Statistic, Fuzhou University Zhicheng College, Fujian, Fuzhou,350007, China
来源：
IAENG International Journal of Applied Mathematics | 2023年 / 53卷 / 04期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose two kinds of single-species models with swapping migration and Allee effect. We aim to discuss how the Allee effect and swapping migration influence the above models’ dynamical behaviours. The existence and stability of equilibria are addressed under weak Allee effect and strong Allee effect, respectively. Also we investigate the occurrence of saddle-node bifurcation which doesn’t exist in the single-species Logistic model. The corresponding dynamical behaviors are richer and more interesting than those in the traditional logistic model with dispersal. We find that both Allee effect and dispersal, especially the capacity of respective patches can make the species unstable. © (2023), (International Association of Engineers). All Rights Reserved.
引用
收藏
相关论文
共 50 条
  • [31] Bifurcation analysis in single-species population model with delay
    Jiang ZhiChao
    Zhang WenZhi
    SCIENCE CHINA-MATHEMATICS, 2010, 53 (06) : 1475 - 1481
  • [32] Dynamics of a single species evolutionary model with Allee effects
    Kang, Yun
    Udiani, Oyita
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 418 (01) : 492 - 515
  • [33] Dynamical model of a single-species system in a polluted environment
    Samanta G.P.
    Maiti A.
    Journal of Applied Mathematics and Computing, 2004, 16 (1-2) : 231 - 242
  • [34] The Control of a Single-Species Fish Population Model with the Invasion of Alien Species
    Zhang, Yi
    Zhang, Qiaoling
    Zhao, Fei
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 5846 - 5850
  • [35] Extended logistic model for growth of single-species populations
    Sakanoue, Seiichi
    ECOLOGICAL MODELLING, 2007, 205 (1-2) : 159 - 168
  • [36] Bifurcation analysis in single-species population model with delay
    JIANG ZhiChao & ZHANG WenZhi Fundamental Science Department
    ScienceChina(Mathematics), 2010, 53 (06) : 1475 - 1481
  • [37] Analysis of a Stochastic Single-Species Model with Intraspecific Cooperation
    Yuqian Zhang
    Yingbo Fan
    Meng Liu
    Methodology and Computing in Applied Probability, 2022, 24 : 3101 - 3120
  • [38] Analysis of a Stochastic Single-Species Model with Intraspecific Cooperation
    Zhang, Yuqian
    Fan, Yingbo
    Liu, Meng
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2022, 24 (04) : 3101 - 3120
  • [39] Impact of environmental colored noise in single-species population dynamics
    Spanio, Tommaso
    Hidalgo, Jorge
    Munoz, Miguel A.
    PHYSICAL REVIEW E, 2017, 96 (04):
  • [40] Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching
    Yu, Xingwang
    Yuan, Sanling
    Zhang, Tonghua
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 59 : 359 - 374
12345