Dynamic study of a predator-prey model with Allee effect and Holling type-I functional response

Yong Ye; Hua Liu; Yumei Wei; Kai Zhang; Ming Ma; Jianhua Ye

doi:10.1186/s13662-019-2311-1

Dynamic study of a predator-prey model with Allee effect and Holling type-I functional response

Advances in Difference Equations ◽

10.1186/s13662-019-2311-1 ◽

2019 ◽

Vol 2019 (1) ◽

Cited By ~ 3

Author(s):

Yong Ye ◽

Hua Liu ◽

Yumei Wei ◽

Kai Zhang ◽

Ming Ma ◽

...

Keyword(s):

Functional Response ◽

Allee Effect ◽

Dynamic Study ◽

Type I ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model

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Dynamics of a Class of Modified Leslie-Gower Predator-Prey Model with Strong Allee Effect on Prey and Non-monotonic Rational Functional Response

Modeling, Simulation and Optimization - Smart Innovation, Systems and Technologies ◽

10.1007/978-981-15-9829-6_41 ◽

2021 ◽

pp. 515-530

Author(s):

Udai Kumar ◽

Partha Sarathi Mandal

Keyword(s):

Functional Response ◽

Allee Effect ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Strong Allee Effect

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Comparative studies on a predator–prey model subjected to fear and Allee effect with type I and type II foraging

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-019-01275-w ◽

2019 ◽

Vol 62 (1-2) ◽

pp. 93-118

Author(s):

Susmita Halder ◽

Joydeb Bhattacharyya ◽

Samares Pal

Keyword(s):

Comparative Studies ◽

Allee Effect ◽

Type I ◽

Type Ii ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model

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A MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH HYPERBOLIC FUNCTIONAL RESPONSE AND ALLEE EFFECT ON PREY

BIOMAT 2010 ◽

10.1142/9789814343435_0010 ◽

2011 ◽

Cited By ~ 2

Author(s):

CLAUDIO ARANCIBIA-IBARRA ◽

EDUARDO GONZÁLEZ-OLIVARES

Keyword(s):

Functional Response ◽

Allee Effect ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model

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A Predator–Prey Model with a Holling Type I Functional Response Including a Predator Mutual Interference

Journal of Nonlinear Science ◽

10.1007/s00332-011-9101-6 ◽

2011 ◽

Vol 21 (6) ◽

pp. 811-833 ◽

Cited By ~ 29

Author(s):

Gunog Seo ◽

Donald L. DeAngelis

Keyword(s):

Functional Response ◽

Mutual Interference ◽

Type I ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model

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Dynamics of a delayed predator‐prey model with Allee effect and Holling type II functional response

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6307 ◽

2020 ◽

Vol 43 (9) ◽

pp. 5708-5728

Author(s):

María Anacleto ◽

Claudio Vidal

Keyword(s):

Functional Response ◽

Allee Effect ◽

Type Ii ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Type Ii Functional Response

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Limit cycles in a Gause-type predator-prey model with sigmoid functional response and weak Allee effect on prey

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2509 ◽

2012 ◽

Vol 35 (8) ◽

pp. 963-975 ◽

Cited By ~ 10

Author(s):

Eduardo González-Olivares ◽

Alejandro Rojas-Palma

Keyword(s):

Functional Response ◽

Limit Cycles ◽

Allee Effect ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Sigmoid Functional Response

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Multiple Limit Cycles in a Gause Type Predator–Prey Model with Holling Type III Functional Response and Allee Effect on Prey

Bulletin of Mathematical Biology ◽

10.1007/s11538-010-9577-5 ◽

2010 ◽

Vol 73 (6) ◽

pp. 1378-1397 ◽

Cited By ~ 43

Author(s):

Eduardo González-Olivares ◽

Alejandro Rojas-Palma

Keyword(s):

Functional Response ◽

Limit Cycles ◽

Allee Effect ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Prey Model

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Bifurcation analysis of a modified Leslie–Gower predator–prey model with Beddington–DeAngelis functional response and strong Allee effect

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2013.08.007 ◽

2014 ◽

Vol 97 ◽

pp. 123-146 ◽

Cited By ~ 37

Author(s):

Pallav Jyoti Pal ◽

Prashanta Kumar Mandal

Keyword(s):

Functional Response ◽

Bifurcation Analysis ◽

Allee Effect ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Strong Allee Effect

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Optimal harvesting in a predator–prey model with Allee effect and sigmoid functional response

Applied Mathematical Modelling ◽

10.1016/j.apm.2011.07.081 ◽

2012 ◽

Vol 36 (5) ◽

pp. 1864-1874 ◽

Cited By ~ 35

Author(s):

Alejandro Rojas-Palma ◽

Eduardo González-Olivares

Keyword(s):

Functional Response ◽

Allee Effect ◽

Optimal Harvesting ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Sigmoid Functional Response

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Consequences of Weak Allee Effect in a Leslie–Gower-Type Predator–Prey Model with a Generalized Holling Type III Functional Response

Analysis, Modelling, Optimization, and Numerical Techniques - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-12583-1_6 ◽

2015 ◽

pp. 89-103 ◽

Cited By ~ 1

Author(s):

Paulo C. Tintinago-Ruíz ◽

Leonardo D. Restrepo-Alape ◽

Eduardo González-Olivares

Keyword(s):

Functional Response ◽

Allee Effect ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Prey Model

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