A Stochastic Holling-Type II Predator-Prey Model with Stage Structure and Refuge for Prey

被引：3
|
作者：
Shi, Wanying [1 ]
Huang, Youlin [1 ]
Wei, Chunjin [1 ]
Zhang, Shuwen [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2021年 / 2021卷
基金：
中国国家自然科学基金;
关键词：
MODIFIED LESLIE-GOWER; DYNAMICS; SYSTEM; EXTINCTION;
D O I：
10.1155/2021/9479012
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study a stochastic Holling-type II predator-prey model with stage structure and refuge for prey. Firstly, the existence and uniqueness of the global positive solution of the system are proved. Secondly, the stochastically ultimate boundedness of the solution is discussed. Next, sufficient conditions for the existence and uniqueness of ergodic stationary distribution of the positive solution are established by constructing a suitable stochastic Lyapunov function. Then, sufficient conditions for the extinction of predator population in two cases and that of prey population in one case are obtained. Finally, some numerical simulations are presented to verify our results.
引用
收藏
页数：14
相关论文
共 50 条
  • [31] Global analysis of a Holling type II predator–prey model with a constant prey refuge
    Guangyao Tang
    Sanyi Tang
    Robert A. Cheke
    Nonlinear Dynamics, 2014, 76 : 635 - 647
  • [32] Dynamics of a stochastic Holling type II predator-prey model with hyperbolic mortality
    Zhang, Xinhong
    Li, Yan
    Jiang, Daqing
    NONLINEAR DYNAMICS, 2017, 87 (03) : 2011 - 2020
  • [33] BIFURCATIONS OF A HOLLING-TYPE II PREDATOR-PREY SYSTEM WITH CONSTANT RATE HARVESTING
    Peng, Guojun
    Jiang, Yaolin
    Li, Changpin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (08): : 2499 - 2514
  • [34] Permanence of a Holling type II predator-prey system with stage-structure
    Sun, Xiaoke
    Huo, Haifeng
    Zhang, Xiaobing
    Fu, Qiang
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 598 - 602
  • [35] Dynamics of a Stochastic Predator–Prey Model with Stage Structure for Predator and Holling Type II Functional Response
    Qun Liu
    Daqing Jiang
    Tasawar Hayat
    Ahmed Alsaedi
    Journal of Nonlinear Science, 2018, 28 : 1151 - 1187
  • [36] A DELAYED PREDATOR-PREY MODEL WITH HOLLING IV FUNCTIONAL RESPONSE AND PREY REFUGE
    Wang, Shufan
    Wang, Wenting
    Liu, Hua
    DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (03): : 663 - 672
  • [37] Existence and Uniqueness of Caputo Fractional Predator-Prey Model of Holling-Type II with Numerical Simulations
    Al Themairi, A.
    Alqudah, Manar A.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [38] Dynamics of a stochastic regime-switching predator-prey model with modified Leslie-Gower Holling-type II schemes and prey harvesting
    Liu, Meng
    NONLINEAR DYNAMICS, 2019, 96 (01) : 417 - 442
  • [39] Deterministic and stochastic analysis of a modified Leslie-Gower predator-prey model with Holling-type II functional response
    Xu, Chaoqun
    Ke, Zhihao
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023,
  • [40] The Coexistence States for a Predator-Prey Model with Holling-type IV Functional Response
    Xue, Pan
    Ren, Cuiping
    Yuan, Hailong
    INTERNATIONAL SYMPOSIUM ON THE FRONTIERS OF BIOTECHNOLOGY AND BIOENGINEERING (FBB 2019), 2019, 2110
12345