Convergences of a stage-structured predator-prey model with modified Leslie-Gower and Holling-type II schemes

被引：0
|
作者：
Yuhua Lin
Xiangdong Xie
Fengde Chen
Tingting Li
机构：
[1] Xiamen Datong Middle School,Department of Mathematics
[2] Ningde Normal University,College of Mathematics and Computer Sciences
[3] Fuzhou University,undefined
来源：
Advances in Difference Equations | / 2016卷
关键词：
global stability; extinction; stage-structure; Leslie-Gower; Holling-type II; predator-prey; 34D23; 92B05; 34D40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A stage-structured predator-prey model (stage structure for both predator and prey) with modified Leslie-Gower and Holling-II schemes is studied in this paper. Using the iterative technique method and the fluctuation lemma, sufficient conditions which guarantee the global stability of the positive equilibrium and boundary equilibrium are obtained. Our results indicate that for a stage-structured predator-prey community, both the stage structure and the death rate of the mature species are the important factors that lead to the permanence or extinction of the system.
引用
收藏
相关论文
共 50 条
  • [41] Dynamics of a Leslie-Gower predator-prey model with Holling type II functional response, Allee effect and a generalist predator
    Arancibia-Ibarra, Claudio
    Flores, Jose
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 188 : 1 - 22
  • [42] Coexistence states for a modified Leslie-Gower type predator-prey model with diffusion
    Shi, Hong-Bo
    Li, Yan
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [43] Stability and global Hopf bifurcation in a Leslie-Gower predator-prey model with stage structure for prey
    Meng, Xin-You
    Huo, Hai-Feng
    Zhang, Xiao-Bing
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2019, 60 (1-2) : 1 - 25
  • [44] Predator-prey model of Holling-type II with harvesting and predator in disease
    Al Themairi, A.
    Alqudah, Manar A.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (43): : 744 - 753
  • [45] ANALYSIS OF A STOCHASTIC TWO-PREDATORS ONE-PREY SYSTEM WITH MODIFIED LESLIE-GOWER AND HOLLING-TYPE II SCHEMES
    Xu, Yao
    Liu, Meng
    Yang, Yun
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (02): : 713 - 727
  • [46] Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model
    Khan, M. Saqib
    Abbas, Mujahid
    Bonyah, Ebenezer
    Qi, Hengxiao
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [47] Permanence of a diffusive Leslie-Gower predator-prey model incorporating a prey refuge
    Yang, Wensheng
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2014, 7 (03)
  • [48] Qualitative analysis of the dynamics of a modified Leslie-Gower predator-prey model with difussion
    Duque, Cosme
    Rosales, Richard
    Sivoli, Zoraida
    CIENCIA E INGENIERIA, 2023, 44 (03): : 367 - 376
  • [49] Dynamics of a modified Leslie-Gower predator-prey model with double Allee effects
    Xing, Mengyun
    He, Mengxin
    Li, Zhong
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2024, 21 (01) : 792 - 831
  • [50] Multiple bifurcations of a discrete modified Leslie-Gower predator-prey model
    Sun, Yajie
    Zhao, Ming
    Du, Yunfei
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (12) : 20437 - 20467
12345