On the dynamics of a Leslie-Gower predator-prey ternary model with intraguild

被引：0
|
作者：
Accarino, C. [1 ]
Capone, F. [1 ]
De Luca, R. [1 ]
Massa, G. [1 ]
机构：
[1] Univ Napoli Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, Via Cintia, I-80126 Naples, Italy
来源：
RICERCHE DI MATEMATICA | 2023年 / 74卷 / 2期
关键词：
Leslie-Gower; Intraguild; Instability analysis; Nonlinear stability; STABILITY;
D O I：
10.1007/s11587-023-00822-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a predator-prey model with intraguild predation describing the evolution between three interacting species-namely prey, mesopredator and top predator-is investigated, with the aim to model a complete food web. In particular, the longtime behaviour of the solutions is analysed, proving the existence of an absorbing set, and the linear and nonlinear stability analyses of the coexistence equilibrium are performed.
引用
收藏
页码：1099 / 1117
页数：19
相关论文
共 50 条
  • [31] Traveling waves of modified Leslie-Gower predator-prey systems
    Li, Hongliang
    Zhao, Min
    Yuan, Rong
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
  • [32] SPATIAL DYNAMICS OF A NONLOCAL DISPERSAL LESLIE-GOWER PREDATOR-PREY MODEL WITH SOME SHIFTING HABITATS
    Fang, Qinhe
    Cheng, Hongmei
    Yuan, Rong
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2023, 43 (08) : 2985 - 3007
  • [33] Complex dynamics induced by harvesting rate and delay in a diffusive Leslie-Gower predator-prey model
    Jiang, Heping
    AIMS MATHEMATICS, 2023, 8 (09): : 20718 - 20730
  • [34] Bifurcation analysis of a discrete Leslie-Gower predator-prey model with slow-fast effect on predator
    Suleman, Ahmad
    Khan, Abdul Qadeer
    Ahmed, Rizwan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (11) : 8561 - 8580
  • [35] Turing instability and Hopf bifurcation in a diffusive Leslie-Gower predator-prey model
    Peng, Yahong
    Liu, Yangyang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (14) : 4158 - 4170
  • [36] The Impact of Allee Effect on a Leslie-Gower Predator-Prey Model with Hunting Cooperation
    Liu, Yingzi
    Zhang, Zhiyang
    Li, Zhong
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (02)
  • [37] Dynamics of a modified Leslie-Gower predator-prey model with Holling-type II schemes and a prey refuge
    Yue, Qin
    SPRINGERPLUS, 2016, 5
  • [38] Modeling Allee Effect in the Leslie-Gower Predator-Prey System Incorporating a Prey Refuge
    Yin, Wenqi
    Li, Zhong
    Chen, Fengde
    He, Mengxin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (06):
  • [39] COMPLEX DYNAMICAL BEHAVIORS OF A DISCRETE MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH PREY HARVESTING
    Zhao, Ming
    Sun, Yajie
    Du, Yunfei
    JOURNAL OF BIOLOGICAL SYSTEMS, 2025, 33 (01) : 101 - 127
  • [40] 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
12345