Global stability of a stochastic predator-prey system with infinite delays

被引:16
|
作者
Liu, Qun [1 ,2 ]
Liu, Yiliang [1 ]
Pan, Xue [1 ]
机构
[1] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China
[2] Yulin Normal Univ, Coll Math & Informat Sci, Yulin 537000, Guangxi, Peoples R China
关键词
Predator-prey system; Global asymptotic stability; Beddington-DeAngelis functional response; Time delays; Stochastic perturbations; BOUNDARY-VALUE-PROBLEMS; HEMIVARIATIONAL INEQUALITIES; DIFFERENTIAL-EQUATIONS; POPULATION-DYNAMICS; RANDOM-ENVIRONMENTS; MODELS; PERTURBATION; INTERFERENCE;
D O I
10.1016/j.amc.2014.02.091
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the global asymptotic stability of a stochastic delay predatorprey system with Beddington-DeAngelis functional response. Sufficient criteria for the global asymptotic stability of the system are established. Some simulation figures are provided to show that our model is more realistic than existing models. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:1 / 7
页数:7
相关论文
共 50 条
  • [41] Global stability of a predator-prey model with generalist predator
    Roy, Jyotirmoy
    Banerjee, Malay
    APPLIED MATHEMATICS LETTERS, 2023, 142
  • [42] Dynamical bifurcation of a stochastic Holling-II predator-prey model with infinite distributed delays
    Xu, Chuanlong
    Lu, Chun
    Li, Yufei
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 135
  • [43] Persistence and global stability for delay nonautonomous predator-prey system
    Zhou, Sheng-Hua
    Liu, Shu-Yun
    Beijing Gongye Daxue Xuebao / Journal of Beijing University of Technology, 2007, 33 (08): : 874 - 877
  • [44] Global asymptotic stability of a predator-prey system of Holling type
    Sugie, J
    Katayama, M
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 38 (01) : 105 - 121
  • [45] Uniform persistence for a predator-prey system with delays
    Yang, XT
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 173 (01) : 523 - 534
  • [46] Global stability of a stage-structured predator-prey system
    Chen, Fengde
    Wang, Haina
    Lin, Yuhua
    Chen, Wanlin
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 223 : 45 - 53
  • [47] On a periodic predator-prey system with time delays
    Zhao Chang-jian
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (02) : 978 - 985
  • [48] GLOBAL STABILITY OF A STAGE-STRUCTURED PREDATOR-PREY SYSTEM
    Song, Xinyu
    Guo, Hongjian
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2008, 1 (03) : 313 - 326
  • [49] Global asymptotic stability of a predator-prey system of Holling type
    Sugie, Jitsuro
    Katayama, Masaki
    Nonlinear Analysis, Theory, Methods and Applications, 1999, 38 (01): : 105 - 121
  • [50] Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response
    Liu, Meng
    Wang, Ke
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (03) : 1114 - 1121