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

We consider the delayed predator–prey system with diffusion. The bifurcation analysis of the model shows that Hopf bifurcation can occur under some conditions and the system has a Bogdanov–Takens singularity for any time delay value.

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Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139901397285 ◽

2003 ◽

Vol 63 (2) ◽

pp. 636-682 ◽

Cited By ~ 128

Author(s):

Huaiping Zhu ◽

Sue Ann Campbell ◽

Gail S. K. Wolkowicz

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Predator Prey ◽

Prey System ◽

Nonmonotonic Functional Response

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Multiple Bifurcations in a Delayed Predator–Prey System with Nonmonotonic Functional Response

Journal of Differential Equations ◽

10.1006/jdeq.2000.3982 ◽

2001 ◽

Vol 176 (2) ◽

pp. 494-510 ◽

Cited By ~ 86

Author(s):

Dongmei Xiao ◽

Shigui Ruan

Keyword(s):

Functional Response ◽

Predator Prey ◽

Prey System ◽

Nonmonotonic 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 ◽

Cited By ~ 29

Author(s):

S.M. Salman ◽

A.M. Yousef ◽

A.A. Elsadany

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Chaos Control ◽

Square Root ◽

Predator Prey ◽

Prey System

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Four positive periodic solutions of a discrete time delayed predator–prey system with nonmonotonic functional response and harvesting

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2008.09.009 ◽

2008 ◽

Vol 56 (12) ◽

pp. 3015-3022 ◽

Cited By ~ 14

Author(s):

Daowei Hu ◽

Zhengqiu Zhang

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Discrete Time ◽

Positive Periodic Solutions ◽

Predator Prey ◽

Prey System ◽

Nonmonotonic Functional Response

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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 analysis of a diffusive predator–prey system with nonconstant death rate and Holling III functional response

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2014.10.011 ◽

2015 ◽

Vol 70 ◽

pp. 1-13 ◽

Cited By ~ 11

Author(s):

Ruizhi Yang ◽

Junjie Wei

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Death Rate ◽

Predator Prey ◽

Prey System ◽

Holling Iii Functional Response

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Multiple Focus and Hopf Bifurcations in a Predator-Prey System with Nonmonotonic Functional Response

SIAM Journal on Applied Mathematics ◽

10.1137/050623449 ◽

2006 ◽

Vol 66 (3) ◽

pp. 802-819 ◽

Cited By ~ 47

Author(s):

Dongmei Xiao ◽

Huaiping Zhu

Keyword(s):

Functional Response ◽

Hopf Bifurcations ◽

Predator Prey ◽

Prey System ◽

Multiple Focus ◽

Nonmonotonic Functional Response

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Bifurcation analysis and global dynamics in a predator–prey system of Leslie type with an increasing functional response

Ecological Modelling ◽

10.1016/j.ecolmodel.2021.109660 ◽

2021 ◽

Vol 455 ◽

pp. 109660

Author(s):

Zuchong Shang ◽

Yuanhua Qiao ◽

Lijuan Duan ◽

Jun Miao

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Global Dynamics ◽

Predator Prey ◽

Prey System

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Hopf bifurcation analysis of a predator–prey system with Holling type IV functional response and time delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.07.003 ◽

2009 ◽

Vol 215 (4) ◽

pp. 1484-1495 ◽

Cited By ~ 27

Author(s):

Fuyun Lian ◽

Yuantong Xu

Keyword(s):

Hopf Bifurcation ◽

Time Delay ◽

Functional Response ◽

Bifurcation Analysis ◽

Predator Prey ◽

Type Iv ◽

Prey System

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