Random Dynamical Systems Generated by Two Allee Maps

被引：0
|
作者：
Kovac, Jozef [1 ]
Jankova, Katarina [1 ]
机构：
[1] Comenius Univ, Fac Math Phys & Informat, Dept Appl Math & Stat, Bratislava 84248, Slovakia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2017年 / 27卷 / 08期
关键词：
Random dynamical systems; Allee maps; Markov process; BEVERTON-HOLT EQUATION; DIFFERENCE-EQUATIONS; POPULATION BIOLOGY; EXTINCTION; MODELS;
D O I：
10.1142/S0218127417501176
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study random dynamical systems generated by two Allee maps. Two models are considered - with and without small random perturbations. It is shown that the behavior of the systems is very similar to the behavior of the deterministic system if we use strictly increasing Allee maps. However, in the case of unimodal Allee maps, the behavior can dramatically change irrespective of the initial conditions.
引用
收藏
页数：9
相关论文
共 50 条
  • [41] Transitive Maps in Bitopological Dynamical Systems
    Acharjee, Santanu
    Goswami, Kabindra
    Sarmah, Hemanta Kumar
    FILOMAT, 2021, 35 (06) : 2011 - 2021
  • [42] Multivalued maps, selections and dynamical systems
    Sanchez-Gabites, J. J.
    Sanjurjo, J. M. R.
    TOPOLOGY AND ITS APPLICATIONS, 2008, 155 (08) : 874 - 882
  • [43] Dynamical systems generated by rational functions
    Niederreiter, H
    Shparlinski, IE
    APPLIED ALGEBRA, ALGEBRAIC ALGORITHMS AND ERROR-CORRECTING CODES, PROCEEDINGS, 2003, 2643 : 6 - 17
  • [44] Convergence rates for sequences of bifurcation parameters of nonautonomous dynamical systems generated by flat top tent maps
    Silva, Teresa M.
    Silva, Luis
    Fernandes, Sara
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 81
  • [45] Influence of dynamical noise on time series generated by nonlinear maps
    Strumik, Marek
    Macek, Wieslaw M.
    PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (05) : 613 - 618
  • [46] Random chain recurrent sets for random dynamical systems
    Chen, Xiaopeng
    Duan, Jinqiao
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2009, 24 (04): : 537 - 546
  • [47] Stationary random response of dynamical systems with random uncertainties
    Zhao, Yan
    Zhang, Ya-Hui
    Lin, Jia-Hao
    Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 2009, 26 (02): : 204 - 208
  • [48] Weak random periodic solutions of random dynamical systems
    Sun, Wei
    Zheng, Zuo-Huan
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2024, 67 (01): : 137 - 151
  • [49] A DYNAMICAL PAIRING BETWEEN TWO RATIONAL MAPS
    Petsche, Clayton
    Szpiro, Lucien
    Tucker, Thomas J.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (04) : 1687 - 1710
  • [50] Dynamical and arithmetic degrees for random iterations of maps on projective space
    Hindes, Wade
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2021, 171 (02) : 369 - 385
12345