Coexistence states of a predator-prey system with non-monotonic functional response

被引：32
|
作者：
Ko, Wonlyul [1 ]
Ryu, Kimun [1 ]
机构：
[1] Korea Univ, Dept Math & Informat, Chungnam 339700, South Korea
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2007年 / 8卷 / 03期
关键词：
coexistence state; Monod-Haldane function; fixed point index; upper-lower solution; bifurcation theory; group defense; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; STEADY-STATES; GLOBAL BIFURCATION; GENERAL-CLASS; MODEL; DIFFUSION;
D O I：
10.1016/j.nonrwa.2006.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate sufficient and necessary conditions for coexistence states of a predator-prey interaction system between two species with non-monotonic functional response under Robin boundary conditions. In view of the results, there is a gap between these two conditions. In this case, we study the multiplicity, stability and some uniqueness of coexistence states depending on some parameters. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：769 / 786
页数：18
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