Strong Allee effect in a diffusive predator-prey system with a protection zone

Renhao Cui; Junping Shi; Boying Wu

doi:10.1016/j.jde.2013.08.015

Strong Allee effect in a diffusive predator-prey system with a protection zone

Renhao Cui
, Junping Shi
, Boying Wu^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Harbin Normal University
College of William and Mary

Research output: Contribution to journal › Article › peer-review

82 Scopus citations

Abstract

A reaction-diffusion predator-prey system with strong Allee effect and a protection zone for the prey is considered. Dynamics and steady state solutions of the system are analyzed. In particular it is shown that the overexploitation phenomenon can be avoided if the Allee effect threshold is low and the protection zone is large.

Original language	English
Pages (from-to)	108-129
Number of pages	22
Journal	Journal of Differential Equations
Volume	256
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2013.08.015
State	Published - 1 Jan 2014

Keywords

Allee effect
Bifurcation
Predator-prey model
Protection zone
Reaction-diffusion

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10.1016/j.jde.2013.08.015

Cite this

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title = "Strong Allee effect in a diffusive predator-prey system with a protection zone",

abstract = "A reaction-diffusion predator-prey system with strong Allee effect and a protection zone for the prey is considered. Dynamics and steady state solutions of the system are analyzed. In particular it is shown that the overexploitation phenomenon can be avoided if the Allee effect threshold is low and the protection zone is large.",

keywords = "Allee effect, Bifurcation, Predator-prey model, Protection zone, Reaction-diffusion",

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T1 - Strong Allee effect in a diffusive predator-prey system with a protection zone

AU - Cui, Renhao

AU - Shi, Junping

AU - Wu, Boying

PY - 2014/1/1

Y1 - 2014/1/1

N2 - A reaction-diffusion predator-prey system with strong Allee effect and a protection zone for the prey is considered. Dynamics and steady state solutions of the system are analyzed. In particular it is shown that the overexploitation phenomenon can be avoided if the Allee effect threshold is low and the protection zone is large.

AB - A reaction-diffusion predator-prey system with strong Allee effect and a protection zone for the prey is considered. Dynamics and steady state solutions of the system are analyzed. In particular it is shown that the overexploitation phenomenon can be avoided if the Allee effect threshold is low and the protection zone is large.

KW - Allee effect

KW - Bifurcation

KW - Predator-prey model

KW - Protection zone

KW - Reaction-diffusion

UR - https://www.scopus.com/pages/publications/84885369865

U2 - 10.1016/j.jde.2013.08.015

DO - 10.1016/j.jde.2013.08.015

M3 - 文章

AN - SCOPUS:84885369865

SN - 0022-0396

VL - 256

SP - 108

EP - 129

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

Strong Allee effect in a diffusive predator-prey system with a protection zone

Abstract

Keywords

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