Dynamics of a stochastic Holling type II predator–prey model with hyperbolic mortality

被引：0
|
作者：
Xinhong Zhang
Yan Li
Daqing Jiang
机构：
[1] China University of Petroleum (East China),College of Science
[2] China University of Petroleum (East China),College of Science
[3] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
来源：
Nonlinear Dynamics | 2017年 / 87卷
关键词：
Stochastic predator–prey model; Hyperbolic mortality; Persistence in the mean; Stationary distribution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers a stochastic predator–prey model with hyperbolic mortality and Holling type II response. Firstly, we show that there is a critical value which can easily determine the extinction and persistence in the mean of the predator population. Then by constructing appropriate Lyapunov functions, we prove that there is a stationary distribution to this model and it has the ergodic property. Finally, a numerical example is introduced to illustrate the results developed.
引用
收藏
页码：2011 / 2020
页数：9
相关论文
共 50 条
  • [21] Periodic Solution and Stationary Distribution for Stochastic Predator-Prey Model With Modified Leslie-Gower and Holling Type II Schemes
    Han, Qixing
    Chen, Liang
    Jiang, Daqing
    FILOMAT, 2020, 34 (04) : 1383 - 1402
  • [22] DYNAMICS OF A PREY-PREDATOR SYSTEM WITH MODIFIED LESLIE-GOWER AND HOLLING TYPE II SCHEMES INCORPORATING A PREY REFUGE
    Slimani, Safia
    de Fitte, Paul Raynaud
    Boussaada, Islam
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (09): : 5003 - 5039
  • [23] Dynamics of a stochastic predator-prey model with habitat complexity and prey aggregation
    Zhang, Shengqiang
    Zhang, Tonghua
    Yuan, Sanling
    ECOLOGICAL COMPLEXITY, 2021, 45
  • [24] Persistence and extinction of a modified LG-Holling type II predator-prey model with two competitive predators and Levy jumps
    Gao, Yongxin
    Yang, Fan
    STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2023, : 1241 - 1259
  • [25] Stability and Hopf Bifurcation of a Diffusive Predator-Prey Model with Hyperbolic Mortality
    Sambath, Muniyagounder
    Balachandran, Krishnan
    Suvinthra, Murugan
    COMPLEXITY, 2016, 21 (S1) : 34 - 43
  • [26] Persistence and extinction of a modified Leslie-Gower Holling-type II predator-prey stochastic model in polluted environments with impulsive toxicant input
    Gao, Yongxin
    Yao, Shuyuan
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (04) : 4894 - 4918
  • [27] Dynamics of a stochastic delay predator-prey model with fear effect and diffusion for prey
    Wang, Qiufen
    Zhang, Shuwen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 537 (02)
  • [28] Influence of the fear factor on the dynamics of a stochastic predator-prey model
    Liu, Qun
    Jiang, Daqing
    APPLIED MATHEMATICS LETTERS, 2021, 112
  • [29] POPULATION AND EVOLUTIONARY ADAPTIVE DYNAMICS OF A STOCHASTIC PREDATOR-PREY MODEL
    Feng, Tao
    Meng, Xinzhu
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2016,
  • [30] Persistence and extinction of a modified Leslie-Gower Holling-type II two-predator one-prey model with Levy jumps
    Gao, Yongxin
    Yang, Fan
    JOURNAL OF BIOLOGICAL DYNAMICS, 2022, 16 (01) : 117 - 143
12345