Global asymptotical stability and sliding bifurcation analysis of a general Filippov-type predator-prey model with a refuge

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126263 ◽

2021 ◽

Vol 405 ◽

pp. 126263

Author(s):

Wenxiu Li ◽

Lihong Huang ◽

Jiafu Wang

Keyword(s):

Bifurcation Analysis ◽

Asymptotical Stability ◽

Global Asymptotical Stability ◽

Predator Prey ◽

Predator Prey Model ◽

Sliding Bifurcation ◽

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Global Asymptotical Stability for a Diffusive Predator-Prey Model with Ratio-Dependent Holling Type III Functional Response

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0370-x ◽

2017 ◽

Author(s):

Wensheng Yang ◽

Xuepeng Li

Keyword(s):

Functional Response ◽

Asymptotical Stability ◽

Global Asymptotical Stability ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Ratio Dependent

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Existence, extinction and global asymptotical stability of a stochastic predator-prey model with mutual interference

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-013-0738-1 ◽

2013 ◽

Vol 46 (1-2) ◽

pp. 79-91 ◽

Author(s):

Bo Du

Keyword(s):

Mutual Interference ◽

Asymptotical Stability ◽

Global Asymptotical Stability ◽

Predator Prey ◽

Predator Prey Model ◽

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Permanence and global asymptotical stability of a predator–prey model with mutual interference

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2010.08.028 ◽

2011 ◽

Vol 12 (2) ◽

pp. 1062-1071 ◽

Author(s):

Kai Wang

Keyword(s):

Mutual Interference ◽

Asymptotical Stability ◽

Global Asymptotical Stability ◽

Predator Prey ◽

Predator Prey Model ◽

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Persistence, extinction and global asymptotical stability of a non-autonomous predator–prey model with random perturbation

Applied Mathematical Modelling ◽

10.1016/j.apm.2011.12.057 ◽

2012 ◽

Vol 36 (11) ◽

pp. 5344-5353 ◽

Author(s):

Meng Liu ◽

Ke Wang

Keyword(s):

Random Perturbation ◽

Asymptotical Stability ◽

Global Asymptotical Stability ◽

Predator Prey ◽

Predator Prey Model ◽

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Global asymptotical stability of a dimensional Leslie–Gower predator–prey model

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.102 ◽

2014 ◽

Vol 235 ◽

pp. 377-382

Author(s):

Wensheng Yang ◽

Xuepeng Li

Keyword(s):

Asymptotical Stability ◽

Global Asymptotical Stability ◽

Predator Prey ◽

Predator Prey Model ◽

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Bifurcation analysis and hybrid control of a discrete-time predator–prey model

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2021.1876038 ◽

2021 ◽

pp. 1-16

Author(s):

Lizhi Fei ◽

Xingwu Chen ◽

Bensan Han

Keyword(s):

Discrete Time ◽

Bifurcation Analysis ◽

Hybrid Control ◽

Predator Prey ◽

Predator Prey Model ◽

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Hopf and steady state bifurcation analysis in a ratio-dependent predator–prey model

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.07.027 ◽

2017 ◽

Vol 44 ◽

pp. 52-73 ◽

Author(s):

Lai Zhang ◽

Jia Liu ◽

Malay Banerjee

Keyword(s):

Steady State ◽

Bifurcation Analysis ◽

Predator Prey ◽

Predator Prey Model ◽

Steady State Bifurcation ◽

Ratio Dependent

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Hopf bifurcation analysis of a predator-prey model

Bioinformatics and Biomedical Engineering: New Advances ◽

10.1201/b19238-16 ◽

2015 ◽

pp. 93-102

Keyword(s):

Hopf Bifurcation ◽

Bifurcation Analysis ◽

Predator Prey ◽

Predator Prey Model ◽

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Bifurcation Analysis of a Time- and Space-Discrete Predator-Prey Model with Holling II Function Response

Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018) ◽

10.2991/mmsa-18.2018.10 ◽

2018 ◽

Author(s):

Tianjiao Zhang ◽

Yan Meng ◽

Yongan Ye

Keyword(s):

Bifurcation Analysis ◽

Time And Space ◽

Predator Prey ◽

Predator Prey Model ◽

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Codimension-two bifurcation analysis of a discrete predator–prey model with nonmonotonic functional response

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2017.1395418 ◽

2017 ◽

Vol 23 (12) ◽

pp. 2093-2115 ◽

Author(s):

Qiaoling Chen ◽

Zhidong Teng

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Predator Prey ◽

Codimension Two ◽

Predator Prey Model ◽

Nonmonotonic Functional Response ◽

Codimension Two Bifurcation

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