Rational systems in the plane

被引:61
作者
Camouzis, E. [2 ]
Kulenovic, M. R. S. [1 ]
Ladas, G. [1 ]
Merino, O. [1 ]
机构
[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA
[2] Amer Coll Greece, Dept Math & Nat Sci, Athens, Greece
关键词
DIFFERENCE-EQUATIONS; COMPETITIVE-EXCLUSION; ASYMPTOTIC-BEHAVIOR; COEXISTENCE; MAPS;
D O I
10.1080/10236190802125264
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:303 / 323
页数:21
相关论文
共 38 条
[11]   Global asymptotic behavior of a two-dimensional difference equation modelling competition [J].
Clark, D ;
Kulenovic, MRS ;
Selgrade, JF .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (07) :1765-1776
[12]  
Cushing J.M., 2007, Journal of Biological Dynamics, V1, P347, DOI 10.1080/17513750701610010
[13]   Some discrete competition models and the competitive exclusion principle [J].
Cushing, JM ;
Levarge, S ;
Chitnis, N ;
Henson, SM .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (13-15) :1139-1151
[14]  
DANCER EN, 1991, J REINE ANGEW MATH, V419, P125
[15]   COMPETITION SYSTEMS WITH PERIODIC COEFFICIENTS - A GEOMETRIC APPROACH [J].
DEMOTTONI, P ;
SCHIAFFINO, A .
JOURNAL OF MATHEMATICAL BIOLOGY, 1981, 11 (03) :319-335
[16]   GLOBAL ATTRACTORS IN COMPETITIVE-SYSTEMS [J].
FRANKE, JE ;
YAKUBU, AA .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 16 (02) :111-129
[17]   GEOMETRY OF EXCLUSION PRINCIPLES IN DISCRETE-SYSTEMS [J].
FRANKE, JE ;
YAKUBU, AA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 168 (02) :385-400
[18]   MUTUAL EXCLUSION VERSUS COEXISTENCE FOR DISCRETE COMPETITIVE-SYSTEMS [J].
FRANKE, JE ;
YAKUBU, AA .
JOURNAL OF MATHEMATICAL BIOLOGY, 1991, 30 (02) :161-168
[19]  
Grove E.A., 2005, Periodicities in Nonlinear Difference Equations
[20]  
Hirsch MW, 2005, HBK DIFF EQUAT ORDIN, V2, P239