GLOBAL ASYMPTOTIC STABILITY OF LOTKA-VOLTERRA DIFFUSION-MODELS WITH CONTINUOUS-TIME DELAY

被引：93

作者：

BERETTA, E ^{[1
]}

TAKEUCHI, Y ^{[1
]}

机构：

[1] SHIZUOKA UNIV,FAC ENGN,DEPT APPL MATH,HAMAMATSU,SHIZUOKA 432,JAPAN

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1988年 / 48卷 / 03期

关键词：

D O I：

10.1137/0148035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：627 / 651

页数：25

共 20 条

[1] PERSISTENCE AND EXTINCTION IN LOTKA-VOLTERRA REACTION DIFFUSION-EQUATIONS [J].

ALLEN, LJS .

MATHEMATICAL BIOSCIENCES, 1983, 65 (01) :1-12

[2]

[Anonymous], 1981, PATHWAYS SOLUTIONS F

[3] A GENERALIZATION OF VOLTERRA MODELS WITH CONTINUOUS-TIME DELAY IN POPULATION-DYNAMICS - BOUNDEDNESS AND GLOBAL ASYMPTOTIC STABILITY [J].

BERETTA, E ;

SOLIMANO, F .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1988, 48 (03) :607-626

[4]

Berman A., 1979, NONNEGATIVE MATRICES, DOI DOI 10.1137/1.9781611971262

[5]

CUSHING JM, 1977, LECTURE NOTES BIOMAT, V20

[6] MATHEMATICAL-MODELS OF POPULATION INTERACTIONS WITH DISPERSAL .2. DIFFERENTIAL SURVIVAL IN A CHANGE OF HABITAT [J].

FREEDMAN, HI ;

RAI, B ;

WALTMAN, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 115 (01) :140-154

[7]

Goh B., 1980, MANAGEMENT ANAL BIOL, P9

[8] GLOBAL ASYMPTOTIC STABILITY IN VOLTERRA POPULATION SYSTEMS [J].

GOPALSAMY, K .

JOURNAL OF MATHEMATICAL BIOLOGY, 1984, 19 (02) :157-168

[9]

HASTINGS A, 1978, J MATH BIOL, V6, P163, DOI 10.1007/BF02450786

[10] DYNAMICS OF A SINGLE SPECIES IN A SPATIALLY VARYING ENVIRONMENT - THE STABILIZING ROLE OF HIGH DISPERSAL RATES [J].

HASTINGS, A .

JOURNAL OF MATHEMATICAL BIOLOGY, 1982, 16 (01) :49-55

← 1 2 →