Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126152 ◽

2021 ◽

Vol 402 ◽

pp. 126152

Author(s):

Claudio Arancibia-Ibarra ◽

Pablo Aguirre ◽

José Flores ◽

Peter van Heijster

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Intraspecific Interactions ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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Bifurcation analysis of a diffusive predator–prey model with ratio-dependent Holling type III functional response

Nonlinear Dynamics ◽

10.1007/s11071-015-2088-z ◽

2015 ◽

Vol 81 (3) ◽

pp. 1535-1552 ◽

Cited By ~ 13

Author(s):

Jun Zhou

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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Stability and Hopf bifurcation analysis of a ratio-dependent predator–prey model with two time delays and Holling type III functional response

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.06.108 ◽

2015 ◽

Vol 268 ◽

pp. 496-508 ◽

Cited By ~ 8

Author(s):

Xuedi Wang ◽

Miao Peng ◽

Xiuyu Liu

Keyword(s):

Hopf Bifurcation ◽

Functional Response ◽

Bifurcation Analysis ◽

Time Delays ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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Stability analysis and nonstandard Grünwald-Letnikov scheme for a fractional order predator-prey model with ratio-dependent functional response

10.1063/1.5016645 ◽

2017 ◽

Cited By ~ 4

Author(s):

Agus Suryanto ◽

Isnani Darti

Keyword(s):

Stability Analysis ◽

Functional Response ◽

Fractional Order ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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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 ◽

Cited By ~ 19

Author(s):

Lai Zhang ◽

Jia Liu ◽

Malay Banerjee

Keyword(s):

Steady State ◽

Bifurcation Analysis ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Steady State Bifurcation ◽

Ratio Dependent

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Dynamical analysis of a ratio-dependent predator–prey model with Holling III type functional response and nonlinear harvesting in a random environment

Advances in Difference Equations ◽

10.1186/s13662-018-1625-8 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 5

Author(s):

Guijie Lan ◽

Yingjie Fu ◽

Chunjin Wei ◽

Shuwen Zhang

Keyword(s):

Functional Response ◽

Random Environment ◽

Dynamical Analysis ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Nonlinear Harvesting ◽

Ratio Dependent

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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 ◽

Cited By ~ 3

Author(s):

Qiaoling Chen ◽

Zhidong Teng

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Predator Prey ◽

Codimension Two ◽

Predator Prey Model ◽

Prey Model ◽

Nonmonotonic Functional Response ◽

Codimension Two Bifurcation

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Bifurcation and Stability Analysis of a Diffusive Predator-Prey Model with Ratio-Dependent Type III Functional Response

The interdisciplinary journal of Discontinuity Nonlinearity and Complexity ◽

10.5890/dnc.2017.09.008 ◽

2017 ◽

Vol 6 (3) ◽

pp. 393-407

Author(s):

M. Sivakumar ◽

K. Balachandran

Keyword(s):

Stability Analysis ◽

Functional Response ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent ◽

Bifurcation And Stability ◽

Dependent Type

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HOPF BIFURCATION ANALYSIS OF A DENSITY PREDATOR-PREY MODEL WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE AND TWO TIME DELAYS

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20190029 ◽

2019 ◽

Vol 9 (4) ◽

pp. 1589-1605

Author(s):

Chunxia Liu ◽

◽

Shumin Li ◽

Yan Yan ◽

Keyword(s):

Hopf Bifurcation ◽

Functional Response ◽

Bifurcation Analysis ◽

Time Delays ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model

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Bifurcation analysis of a discrete-time ratio-dependent predator–prey model with Allee Effect

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.02.038 ◽

2016 ◽

Vol 38 ◽

pp. 288-302 ◽

Cited By ~ 30

Author(s):

Lifang Cheng ◽

Hongjun Cao

Keyword(s):

Discrete Time ◽

Bifurcation Analysis ◽

Allee Effect ◽

Predator Prey ◽

Predator Prey Model ◽

Time Ratio ◽

Prey Model ◽

Ratio Dependent

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Permanence and periodicity of a delayed ratio-dependent predator–prey model with Holling type functional response and stage structure

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.07.008 ◽

2009 ◽

Vol 233 (2) ◽

pp. 173-187 ◽

Cited By ~ 19

Author(s):

Zuxiong Li ◽

Lansun Chen ◽

Jianmin Huang

Keyword(s):

Functional Response ◽

Stage Structure ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent ◽

Holling Type Functional Response

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