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.
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页码：769 / 786
页数：18
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