Dynamics of Kolmogorov systems of competitive type under the telegraph noise

被引:29
|
作者
Nguyen Huu Du [1 ]
Nguyen Hai Dang [1 ]
机构
[1] Hanoi Natl Univ, Fac Math Mech & Informat, Hanoi, Vietnam
关键词
Kolmogorov systems of competitive type; Telegraph noise; Stationary distribution; omega limit set; PERSISTENCE; STABILITY; BOUNDEDNESS; ATTRACTION; BEHAVIOR;
D O I
10.1016/j.jde.2010.08.023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies the dynamics of Kolmogorov systems of competitive type under the telegraph noise The telegraph noise switches at random two Kolmogorov competition-type deterministic models The aim of this work is to describe the omega-limit set of the system and investigates properties of stationary density (C) 2010 Elsevier Inc All rights reserved
引用
收藏
页码:386 / 409
页数:24
相关论文
共 50 条
  • [21] Systems of equations of Kolmogorov type
    Malyts'ka, H. P.
    UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (12) : 1937 - 1954
  • [22] Dynamics of quantum correlations in a qubit-qutrit spin system under random telegraph noise
    Benabdallah, Fadwa
    Zad, Hamid Arian
    Daoud, Mohammed
    Ananikian, Nerses
    PHYSICA SCRIPTA, 2021, 96 (12)
  • [23] Quantum correlations and decoherence dynamics for a qutrit-qutrit system under random telegraph noise
    Tsokeng, Arthur Tsamouo
    Tchoffo, Martin
    Fai, Lukong Cornelius
    QUANTUM INFORMATION PROCESSING, 2017, 16 (08)
  • [24] Carrying simplices in nonautonomous and random competitive Kolmogorov systems
    Shen, Wenxian
    Wang, Yi
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (01) : 1 - 29
  • [25] RELAXATION OF SYSTEMS UNDER THE EFFECT OF A GAUSSIAN WHITE NOISE - KOLMOGOROV BACKWARD EQUATION METHOD
    KITAHARA, K
    ISHII, K
    PROGRESS OF THEORETICAL PHYSICS, 1983, 70 (01): : 312 - 314
  • [26] The dynamical behaviour of type-K competitive Kolmogorov systems and its application to three-dimensional type-K competitive Lotka-Volterra systems
    Liang, X
    Jiang, JF
    NONLINEARITY, 2003, 16 (03) : 785 - 801
  • [27] Kolmogorov operators of Hamiltonian systems perturbed by noise
    Da Prato, Giuseppe
    Lunardi, Alessandra
    PARTIAL DIFFERENTIAL EQUATIONS AND FUNCTIONAL ANALYSIS: THE PHILIPPE CLEMENT FESTSCHRIFT, 2006, 168 : 61 - +
  • [28] On the dynamics of a class of rational Kolmogorov systems
    Boukoucha, Rachid
    Bendjeddou, Ahmed
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2016, 23 (01) : 21 - 27
  • [29] Temporal evolution of resonant transmission under telegraph noise
    Gurvitz, Shmuel
    Aharony, Amnon
    Entin-Wohlman, Ora
    PHYSICAL REVIEW B, 2016, 94 (07)
  • [30] On the dynamics of a class of rational Kolmogorov systems
    Rachid Boukoucha
    Ahmed Bendjeddou
    Journal of Nonlinear Mathematical Physics, 2016, 23 : 21 - 27