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

被引：67
|
作者：
Cui, Renhao [1 ,2 ,3 ]
Shi, Junping [4 ]
Wu, Boying [1 ]
机构：
[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
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年 / 256卷 / 01期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Predator-prey model; Reaction-diffusion; Allee effect; Protection zone; Bifurcation; AUTOCATALYTIC CHEMICAL-REACTION; SPATIAL HETEROGENEITY; POSITIVE SOLUTIONS; COMPETITION MODEL; POPULATION-DYNAMICS; ELLIPTIC-EQUATIONS; EXACT MULTIPLICITY; STATIONARY PROBLEM; CROSS-DIFFUSION; PATCHY INVASION;
D O I：
10.1016/j.jde.2013.08.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：108 / 129
页数：22
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