Hopf bifurcation analysis of a predator–prey model with Holling-II type functional response and a prey refuge

Nonlinear Dynamics ◽

10.1007/s11071-019-05063-w ◽

2019 ◽

Vol 97 (2) ◽

pp. 1439-1450 ◽

Author(s):

Yong Zhou ◽

Wen Sun ◽

Yinfang Song ◽

Zhigang Zheng ◽

Jinhu Lu ◽

...

Keyword(s):

Hopf Bifurcation ◽

Functional Response ◽

Bifurcation Analysis ◽

Prey Refuge ◽

Predator Prey ◽

Predator Prey Model ◽

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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 ◽

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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 ◽

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 ◽

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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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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Hopf bifurcation analysis in a delayed Leslie–Gower predator–prey model incorporating additional food for predators, refuge and threshold harvesting of preys

Nonlinear Dynamics ◽

10.1007/s11071-020-05659-7 ◽

2020 ◽

Vol 100 (3) ◽

pp. 3007-3028

Author(s):

Maximilien Onana ◽

Boulchard Mewoli ◽

Jean Jules Tewa

Keyword(s):

Hopf Bifurcation ◽

Bifurcation Analysis ◽

Additional Food ◽

Predator Prey ◽

Predator Prey Model ◽

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Stability and Hopf bifurcation for a delayed predator–prey model with stage structure for prey and Ivlev-type functional response

Nonlinear Dynamics ◽

10.1007/s11071-020-05467-z ◽

2020 ◽

Vol 99 (4) ◽

pp. 3323-3350 ◽

Author(s):

Dongpo Hu ◽

Yunyun Li ◽

Ming Liu ◽

Yuzhen Bai

Keyword(s):

Hopf Bifurcation ◽

Functional Response ◽

Stage Structure ◽

Predator Prey ◽

Predator Prey Model ◽

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Turing–Hopf bifurcation analysis of a predator–prey model with herd behavior and cross-diffusion

Nonlinear Dynamics ◽

10.1007/s11071-016-2873-3 ◽

2016 ◽

Vol 86 (1) ◽

pp. 73-89 ◽

Author(s):

Xiaosong Tang ◽

Yongli Song ◽

Tonghua Zhang

Keyword(s):

Hopf Bifurcation ◽

Bifurcation Analysis ◽

Herd Behavior ◽

Predator Prey ◽

Cross Diffusion ◽

Predator Prey Model ◽

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Stability and Hopf bifurcation analysis of a predator-prey model with time delayed incomplete trophic transfer

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-015-0463-7 ◽

2015 ◽

Vol 31 (1) ◽

pp. 235-246 ◽

Author(s):

Chang-qin Zhang ◽

Liping Liu ◽

Ping Yan ◽

Lin-zhong Zhang

Keyword(s):

Hopf Bifurcation ◽

Bifurcation Analysis ◽

Trophic Transfer ◽

Predator Prey ◽

Predator Prey Model ◽

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Qualitative analysis of a predator–prey model with Holling type II functional response incorporating a constant prey refuge

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2008.10.056 ◽

2010 ◽

Vol 11 (1) ◽

pp. 246-252 ◽

Author(s):

Liujuan Chen ◽

Fengde Chen ◽

Lijuan Chen

Keyword(s):

Qualitative Analysis ◽

Functional Response ◽

Type Ii ◽

Prey Refuge ◽

Predator Prey ◽

Predator Prey Model ◽

Type Ii Functional Response

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Bifurcation analysis and dynamic behavior to a predator-prey model with Beddington-DeAngelis functional response and protection zone

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020117 ◽

2020 ◽

Vol 25 (12) ◽

pp. 4641-4657

Author(s):

Xiao He ◽

◽

Sining Zheng ◽

◽

Keyword(s):

Dynamic Behavior ◽

Functional Response ◽

Bifurcation Analysis ◽

Predator Prey ◽

Protection Zone ◽

Predator Prey Model ◽

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