Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response

Xuechen Wang; Junjie Wei

doi:10.1016/j.jmaa.2014.09.051

Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response

Xuechen Wang
, Junjie Wei^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

47 Scopus citations

Abstract

The dynamics of a kind of reaction-diffusion predator-prey system with strong Allee effect in the prey population is considered. We prove the existence and uniqueness of the solution and give a priori bound. Hopf bifurcation and steady state bifurcation are studied. Results show that the Allee effect has significant impact on the dynamics.

Original language	English
Pages (from-to)	1447-1462
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	422
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2014.09.051
State	Published - 15 Feb 2015
Externally published	Yes

Keywords

Allee effect
Hopf bifurcation
Ivlev-type functional response
Periodic solutions
Prey-predator

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10.1016/j.jmaa.2014.09.051

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title = "Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response",

abstract = "The dynamics of a kind of reaction-diffusion predator-prey system with strong Allee effect in the prey population is considered. We prove the existence and uniqueness of the solution and give a priori bound. Hopf bifurcation and steady state bifurcation are studied. Results show that the Allee effect has significant impact on the dynamics.",

keywords = "Allee effect, Hopf bifurcation, Ivlev-type functional response, Periodic solutions, Prey-predator",

author = "Xuechen Wang and Junjie Wei",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

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AU - Wang, Xuechen

AU - Wei, Junjie

PY - 2015/2/15

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N2 - The dynamics of a kind of reaction-diffusion predator-prey system with strong Allee effect in the prey population is considered. We prove the existence and uniqueness of the solution and give a priori bound. Hopf bifurcation and steady state bifurcation are studied. Results show that the Allee effect has significant impact on the dynamics.

AB - The dynamics of a kind of reaction-diffusion predator-prey system with strong Allee effect in the prey population is considered. We prove the existence and uniqueness of the solution and give a priori bound. Hopf bifurcation and steady state bifurcation are studied. Results show that the Allee effect has significant impact on the dynamics.

KW - Allee effect

KW - Hopf bifurcation

KW - Ivlev-type functional response

KW - Periodic solutions

KW - Prey-predator

UR - https://www.scopus.com/pages/publications/84908180764

U2 - 10.1016/j.jmaa.2014.09.051

DO - 10.1016/j.jmaa.2014.09.051

M3 - 文章

AN - SCOPUS:84908180764

SN - 0022-247X

VL - 422

SP - 1447

EP - 1462

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response

Abstract

Keywords

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