Multistability in a Leslie‐Gower–type predation model with a rational nonmonotonic functional response and generalist predators

Liliana Puchuri; Eduardo González‐Olivares; Alejandro Rojas‐Palma

doi:10.1002/cmm4.1070

Multistability in a Leslie‐Gower–type predation model with a rational nonmonotonic functional response and generalist predators

Computational and Mathematical Methods ◽

10.1002/cmm4.1070 ◽

2019 ◽

Vol 2 (2) ◽

Author(s):

Liliana Puchuri ◽

Eduardo González‐Olivares ◽

Alejandro Rojas‐Palma

Keyword(s):

Functional Response ◽

Generalist Predators ◽

Nonmonotonic Functional Response

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Bifurcation study and pattern formation analysis of a tritrophic food chain model with group defense and Ivlev-like nonmonotonic functional response

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.110964 ◽

2021 ◽

Vol 147 ◽

pp. 110964

Author(s):

Vikas Kumar ◽

Nitu Kumari

Keyword(s):

Pattern Formation ◽

Functional Response ◽

Food Chain ◽

Chain Model ◽

Group Defense ◽

Nonmonotonic Functional Response ◽

Food Chain Model

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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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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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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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Periodic solutions in a delayed predator–prey model with nonmonotonic functional response

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2008.10.032 ◽

2009 ◽

Vol 10 (5) ◽

pp. 3275-3284 ◽

Cited By ~ 23

Author(s):

Yong-Hong Fan ◽

Lin-Lin Wang

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Nonmonotonic Functional Response

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Effects of Sublethal Concentrations of Insecticides on the Functional Response of Two Mirid Generalist Predators

PLoS ONE ◽

10.1371/journal.pone.0144413 ◽

2015 ◽

Vol 10 (12) ◽

pp. e0144413 ◽

Cited By ~ 12

Author(s):

Angeliki F. Martinou ◽

Menelaos C. Stavrinides

Keyword(s):

Functional Response ◽

Generalist Predators ◽

Sublethal Concentrations

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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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MULTISTABILITY ON A LESLIE-GOWER TYPE PREDATOR-PREY MODEL WITH NONMONOTONIC FUNCTIONAL RESPONSE

BIOMAT 2006 ◽

10.1142/9789812708779_0023 ◽

2007 ◽

Cited By ~ 4

Author(s):

BETSABÉ GONZÁLEZ-YAÑEZ ◽

EDUARDO GONZÁLEZ-OLIVARES ◽

JAIME MENA-LORCA

Keyword(s):

Functional Response ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Nonmonotonic Functional Response

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Periodic solutions for a semi-ratio-dependent predator–prey system with nonmonotonic functional response and time delay

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2006.12.008 ◽

2008 ◽

Vol 9 (3) ◽

pp. 762-775 ◽

Cited By ~ 32

Author(s):

Xiaohua Ding ◽

Chun Lu ◽

Mingzhu Liu

Keyword(s):

Time Delay ◽

Periodic Solutions ◽

Functional Response ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent ◽

Nonmonotonic Functional Response

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