POSITIVE SOLUTIONS FOR A 3-SPECIES COMPETITION SYSTEM WITH DIFFUSION .1. GENERAL EXISTENCE RESULTS

被引:78
作者
DANCER, EN [1 ]
DU, YH [1 ]
机构
[1] UNIV NEW ENGLAND,DEPT MATH STAT & COMP SCI,ARMIDALE,NSW 2350,AUSTRALIA
基金
澳大利亚研究理事会;
关键词
COMPETITION SYSTEM; FIXED POINT INDEX; POSITIVE SOLUTION;
D O I
10.1016/0362-546X(94)E0063-M
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:337 / 357
页数:21
相关论文
共 25 条
[1]   ON THE UNIQUENESS OF THE POSITIVE STEADY-STATE FOR LOTKA-VOLTERRA MODELS WITH DIFFUSION [J].
ALI, SW ;
COSNER, C .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 168 (02) :329-341
[2]  
Berger M.S., 1977, PURE APPL MATH
[3]   BIFURCATION OF STEADY-STATE SOLUTIONS IN PREDATOR-PREY AND COMPETITION SYSTEMS [J].
BLAT, J ;
BROWN, KJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1984, 97 :21-34
[4]  
CANTRELL RS, 1987, HOUSTON J MATH, V13, P337
[5]   STABLE COEXISTENCE STATES IN THE VOLTERRA-LOTKA COMPETITION MODEL WITH DIFFUSION [J].
COSNER, C ;
LAZER, AC .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (06) :1112-1132
[6]  
DANCER EN, 1986, J REINE ANGEW MATH, V371, P46
[8]   ON POSITIVE SOLUTIONS OF SOME PAIRS OF DIFFERENTIAL-EQUATIONS .2. [J].
DANCER, EN .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 60 (02) :236-258