A non-autonomous Leslie–Gower model with Holling type IV functional response and harvesting complexity

被引:0
|
作者
Jie Song
Yonghui Xia
Yuzhen Bai
Yaoxiong Cai
D. O’Regan
机构
[1] Huaqiao University,School of Economics and Finance
[2] Huaqiao University,School of Mathematical Sciences
[3] Zhejiang Normal University,Department of Mathematics
[4] Qufu Normal University,School of Mathematical Sciences
[5] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
来源
Advances in Difference Equations | / 2019卷
关键词
Periodic solutions; Functional response; Permanence; Non-autonomous; Predator-prey model;
D O I
暂无
中图分类号
学科分类号
摘要
This paper considers a non-autonomous modified Leslie–Gower model with Holling type IV functional response and nonlinear prey harvesting. The permanence of the model is obtained, and sufficient conditions for the existence of a periodic solution are presented. Two examples and their simulations show the validity of our results.
引用
收藏
相关论文
共 50 条
  • [21] Dynamics and bifurcations of a modified Leslie-Gower-type model considering a Beddington-DeAngelis functional response
    Vera-Damian, Yrina
    Vidal, Claudio
    Gonzalez-Olivares, Eduardo
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) : 3179 - 3210
  • [22] STOCHASTIC NON-AUTONOMOUS HOLLING TYPE-III PREY-PREDATOR MODEL WITH PREDATOR'S INTRA-SPECIFIC COMPETITION
    Sengupta, Sampurna
    Das, Pritha
    Mukherjee, Debasis
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (08): : 3275 - 3296
  • [23] Deterministic and stochastic dynamics of a modified Leslie-Gower prey-predator system with simplified Holling-type IV scheme
    Li, Lin
    Zhao, Wencai
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (03) : 2813 - 2831
  • [24] Dynamics of a modified Leslie-Gower Holling-type II eco-epidemiological model on time scales
    Es-saiydy, Mohssine
    Zitane, Mohamed
    APPLICABLE ANALYSIS, 2024, 103 (09) : 1628 - 1648
  • [25] Dynamics of a diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes
    Yang, Wensheng
    Li, Yongqing
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 65 (11) : 1727 - 1737
  • [26] On the explosive instability in a three-species food chain model with modified Holling type IV functional response
    Parshad, Rana D.
    Upadhyay, Ranjit Kumar
    Mishra, Swati
    Tiwari, Satish Kumar
    Sharma, Swarnali
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (16) : 5707 - 5726
  • [27] Permanence and global attractivity of a nonautonomous modified Leslie-Gower predator-prey model with Holling-type II schemes and a prey
    Xie, Xiangdong
    Xue, Yalong
    Chen, Jinhuang
    Li, Tingting
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [28] Spatiotemporal complexity of a Holling-Iv-type predator-prey model
    Zhang, Lei
    Wang, Weiming
    Xue, Yakui
    Li, Zhibin
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 332 - 338
  • [29] Permanence, existence, and stability of almost automorphic solution of a non-autonomous Leslie-Gower prey-predator model with control feedback terms on time scales
    Dhama, Soniya
    Abbas, Syed
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (15) : 11783 - 11796
  • [30] Dynamic complexity and bifurcation analysis of a host-parasitoid model with Allee effect and Holling type III functional response
    Liu, Hua
    Zhang, Kai
    Ye, Yong
    Wei, Yumei
    Ma, Ming
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)