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
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
  • [41] Spatiotemporal Dynamics of a Diffusive Leslie-Gower Predator-Prey Model with Ratio-Dependent Functional Response
    Shi, Hong-Bo
    Ruan, Shigui
    Su, Ying
    Zhang, Jia-Fang
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (05):
  • [42] Dynamics of a Harvested Leslie-Gower Predator-Prey Model with Simplified Holling Type IV Functional Response
    Huangfu, Chenyang
    Li, Zhong
    Chen, Fengde
    Chen, Lijuan
    He, Mengxin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2025, 35 (02):
  • [43] Complex dynamics in a singular Leslie-Gower predator-prey bioeconomic model with time delay and stochastic fluctuations
    Zhang, Yue
    Zhang, Qingling
    Yan, Xing-Gang
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 404 : 180 - 191
  • [44] Spatiotemporal Dynamics Induced by Michaelis-Menten Type Prey Harvesting in a Diffusive Leslie-Gower Predator-Prey Model
    Zuo, Wei-Qin
    Ma, Zhan-Ping
    Cheng, Zhi-Bo
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (14):
  • [45] Stable spatially inhomogeneous periodic solutions for a diffusive Leslie-Gower predator-prey model
    Jiang, Heping
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (03) : 2541 - 2567
  • [46] Dynamics of a Diffusive Predator-Prey Model with Modified Leslie-Gower Term and Michaelis-Menten Type Prey Harvesting
    Li, Yan
    Wang, Mingxin
    ACTA APPLICANDAE MATHEMATICAE, 2015, 140 (01) : 147 - 172
  • [47] Bifurcation analysis of modified Leslie-Gower predator-prey model with double Allee effect
    Singh, Manoj Kumar
    Bhadauria, B. S.
    Singh, Brajesh Kumar
    AIN SHAMS ENGINEERING JOURNAL, 2018, 9 (04) : 1263 - 1277
  • [48] Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
    Aguirrea, Pablo
    Gonzalez-Olivares, Eduardo
    Saez, Eduardo
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1401 - 1416
  • [49] The Existence and Simulations of Periodic Solutions of a Leslie-Gower Predator-Prey Model with Impulsive Perturbations
    Wang, Kaihua
    Gui, Zhanji
    INFORMATION COMPUTING AND APPLICATIONS, PT II, 2011, 244 : 104 - 112
  • [50] Positive solutions of a diffusive Leslie-Gower predator-prey model with Bazykin functional response
    Zhou, Jun
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 65 (01): : 1 - 18