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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:256

Article

Cui, Renhao^1,2,3  Shi, Junping⁴  Wu, Boying¹ 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

[2] Harbin Inst Technol, YY Tseng Funct Anal Res Ctr, Harbin 150001, Heilongjiang, Peoples R China

[3] Harbin Inst Technol, Sch Math Sci, Harbin 150001, Heilongjiang, Peoples R China

[4] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

关键词: Predator-prey model;    Reaction-diffusion;    Allee effect;    Protection zone;    Bifurcation;   

DOI  :  10.1016/j.jde.2013.08.015

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free