Deterministic and stochastic dynamics analysis of a predator-prey model with function III response

被引：0
|
作者：
Feng, Jianfeng [1 ]
Wang, Hongli [2 ]
Huang, Dongwei [3 ]
机构：
[1] TEDA, Tianjin Puda Postdoctoral Workstn, Tianjin 300457, Peoples R China
[2] Tianjin Univ, Sch Mech Engn, Tianjin 300072, Peoples R China
[3] Tianjin Polytech Univ, Tianjin 300160, Peoples R China
来源：
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2007年 / 14卷
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A predator-prey model with function III response in a random environment is investigated. First, the paper deals with the stability and bifurcation of the deterministic model and then with the stochastic stability of the model with random noise. Conditions for the stability and Hopf-bifurcation of the deterministic model are worked out and stochastic stability about the positive interior equilibrium is studied. Lastly the numerical simulations arc carried out to substantiate the analytical findings.
引用
收藏
页码：57 / 61
页数：5
相关论文
共 50 条
  • [1] Asymptotic dynamics of a deterministic and stochastic predator-prey model with disease in the prey species
    Forys, Urszula
    Qiao, Meihong
    Liu, Anping
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (03) : 306 - 320
  • [2] Hopf bifurcation of deterministic model and dynamics of a stochastic delayed predator-prey system
    Wang, Fang
    Xiong, Zuoliang
    Wei, Qiuyu
    Journal of Computational Information Systems, 2013, 9 (13): : 5109 - 5116
  • [3] A predator-prey model with prey refuge: under a stochastic and deterministic environment
    Chatterjee, Anal
    Abbasi, Muhammad Aqib
    Venturino, E.
    Zhen, Jin
    Haque, Mainul
    NONLINEAR DYNAMICS, 2024, 112 (15) : 13667 - 13693
  • [4] A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments
    Zhang, Shengqiang
    Yuan, Sanling
    Zhang, Tonghua
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 413
  • [5] The Complex Dynamics of a Stochastic Predator-Prey Model
    Wang, Xixi
    Huang, Huilin
    Cai, Yongli
    Wang, Weiming
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [6] Deterministic and stochastic analysis of a prey-dependent predator-prey system
    Maiti, Alakes
    Samanta, G. P.
    INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2005, 36 (01) : 65 - 83
  • [7] Deterministic and stochastic analysis of a predator-prey model with Allee effect and herd behaviour
    Manna, Debasis
    Maiti, Alakes
    Samanta, G. P.
    SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL, 2019, 95 (04): : 339 - 349
  • [8] Toxic effects on predator-prey dynamics: From deterministic to stochastic perspectives
    Dutta, Protyusha
    Saha, Sangeeta
    Samanta, Guruprasad
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
  • [9] A COMPARISON OF DETERMINISTIC AND STOCHASTIC PREDATOR-PREY MODELS WITH DISEASE IN THE PREDATOR
    Hu, Hongxiao
    Xu, Liguang
    Wang, Kai
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (06): : 2837 - 2863
  • [10] Dynamics of a stochastic predator-prey model with mutual interference
    Wang, Kai
    Zhu, Yanling
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2014, 7 (03)
12345