Periodicity in a delayed ratio-dependent predator-prey system

被引:77
作者
Fan, M [1 ]
Wang, K [1 ]
机构
[1] NE Normal Univ, Dept Math, Changchun 130024, Jilin, Peoples R China
关键词
periodic solutions; ratio-dependent predator-prey system; coincidence degree;
D O I
10.1006/jmaa.2001.7555
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system in a periodic environment. (C) 2001 Academic Press.
引用
收藏
页码:179 / 190
页数:12
相关论文
共 15 条
[1]  
[Anonymous], 1977, LECT NOTES BIOMATHEM
[2]   FUNCTIONAL-RESPONSES AND HETEROGENEITIES - AN EXPERIMENTAL TEST WITH CLADOCERANS [J].
ARDITI, R ;
PERRIN, N ;
SAIAH, H .
OIKOS, 1991, 60 (01) :69-75
[3]   VARIATION IN PLANKTON DENSITIES AMONG LAKES - A CASE FOR RATIO-DEPENDENT PREDATION MODELS [J].
ARDITI, R ;
GINZBURG, LR ;
AKCAKAYA, HR .
AMERICAN NATURALIST, 1991, 138 (05) :1287-1296
[4]   COUPLING IN PREDATOR PREY DYNAMICS - RATIO-DEPENDENCE [J].
ARDITI, R ;
GINZBURG, LR .
JOURNAL OF THEORETICAL BIOLOGY, 1989, 139 (03) :311-326
[5]   EMPIRICAL-EVIDENCE OF THE ROLE OF HETEROGENEITY IN RATIO-DEPENDENT CONSUMPTION [J].
ARDITI, R ;
SAIAH, H .
ECOLOGY, 1992, 73 (05) :1544-1551
[6]   Global analyses in some delayed ratio-dependent predator-prey systems [J].
Beretta, E ;
Kuang, Y .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (03) :381-408
[7]  
Gaines RE, 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537
[8]   CONSEQUENCES OF RATIO-DEPENDENT PREDATION FOR STEADY-STATE PROPERTIES OF ECOSYSTEMS [J].
GINZBURG, LR ;
AKCAKAYA, HR .
ECOLOGY, 1992, 73 (05) :1536-1543
[9]   PHYSIOLOGICAL-BASIS OF RATIO-DEPENDENT PREDATOR PREY THEORY - THE METABOLIC POOL MODEL AS A PARADIGM [J].
GUTIERREZ, AP .
ECOLOGY, 1992, 73 (05) :1552-1563
[10]   THE FUNCTIONAL-RESPONSE OF PREDATORS - WORRIES ABOUT SCALE [J].
HANSKI, I .
TRENDS IN ECOLOGY & EVOLUTION, 1991, 6 (05) :141-142