Bifurcation analysis for a ratio-dependent predator-prey system with multiple delays

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.009.06.03 ◽

2016 ◽

Vol 09 (06) ◽

pp. 3479-3790 ◽

Author(s):

Dingyang Lv ◽

Wen Zhang ◽

Yi Tang

Keyword(s):

Bifurcation Analysis ◽

Multiple Delays ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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Hopf bifurcation analysis for a ratio-dependent predator-prey system involving two delays

ANZIAM Journal ◽

10.21914/anziamj.v55i0.6271 ◽

2014 ◽

Vol 55 ◽

pp. 214

Author(s):

H. Merdan

Keyword(s):

Hopf Bifurcation ◽

Bifurcation Analysis ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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Hopf bifurcation analysis for a ratio-dependent predator–prey system with two delays and stage structure for the predator

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.01.025 ◽

2014 ◽

Vol 231 ◽

pp. 214-230 ◽

Author(s):

Lianwang Deng ◽

Xuedi Wang ◽

Miao Peng

Keyword(s):

Hopf Bifurcation ◽

Bifurcation Analysis ◽

Stage Structure ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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Bogdanov–Takens bifurcation analysis of a delayed predator-prey system with double Allee effect

Nonlinear Dynamics ◽

10.1007/s11071-021-06338-x ◽

2021 ◽

Author(s):

Jianfeng Jiao ◽

Can Chen

Keyword(s):

Bifurcation Analysis ◽

Allee Effect ◽

Predator Prey ◽

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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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A delayed ratio-dependent predator-prey system with stage-structured and impulsive effect

Journal of Systems Science and Complexity ◽

10.1007/s11424-011-8198-x ◽

2011 ◽

Vol 24 (6) ◽

pp. 1118-1129 ◽

Author(s):

Zuxiong LI

Keyword(s):

Impulsive Effect ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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Permanence for a delayed discrete ratio-dependent -species predator–prey system with Holling-type II functional response

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2010.11.085 ◽

2010 ◽

Author(s):

Rongxiu Liu ◽

Jianguo Gao

Keyword(s):

Functional Response ◽

Type Ii ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent ◽

Type Ii Functional Response

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Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2016.09.020 ◽

2016 ◽

Vol 93 ◽

pp. 20-31 ◽

Author(s):

S.M. Salman ◽

A.M. Yousef ◽

A.A. Elsadany

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Chaos Control ◽

Square Root ◽

Predator Prey ◽

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Global dynamics of a ratio-dependent predator-prey system

Journal of Mathematical Biology ◽

10.1007/s002850100097 ◽

2001 ◽

Vol 43 (3) ◽

pp. 268-290 ◽

Author(s):

Dongmei Xiao ◽

Shigui Ruan

Keyword(s):

Global Dynamics ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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Bifurcation analysis of a diffusive predator–prey system with nonmonotonic functional response

Nonlinear Dynamics ◽

10.1007/s11071-018-4533-2 ◽

2018 ◽

Vol 94 (4) ◽

pp. 2901-2918

Author(s):

Bounsanong Sounvoravong ◽

Jianping Gao ◽

Shangjiang Guo

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Predator Prey ◽

Prey System ◽

Nonmonotonic Functional Response

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Dynamics of a diffusive Leslie–Gower predator–prey system with ratio-dependent Holling III functional response

Advances in Difference Equations ◽

10.1186/s13662-019-2018-3 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Xiaoyuan Chang ◽

Jimin Zhang

Keyword(s):

Functional Response ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent ◽

Holling Iii Functional Response

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