THE EFFECT OF DELAYS ON STABILITY AND PERSISTENCE IN PLANKTON MODELS

被引：63

作者：

RUAN, SG ^{[1
]}

机构：

[1] FIELDS INST RES MATH SCI,WATERLOO,ON N2L 5Z5,CANADA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1995年 / 24卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

DISCRETE DELAY; DISTRIBUTED DELAY; PLANKTON MODELS; NUTRIENT RECYCLING; DISSIPATIVITY; STABILITY; HOPF BIFURCATION; PERSISTENCE; LINEAR CHAIN TRICK TECHNIQUE;

D O I：

10.1016/0362-546X(95)93092-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

[No abstract available]

引用

页码：575 / 585

页数：11

共 28 条

[1]

BERETTA E, 1991, J MATH BIOL, V85, P99

[2] EFFECTS OF TIME LAGS ON TRANSIENT CHARACTERISTICS OF A NUTRIENT CYCLING MODEL [J].

BISCHI, GI .

MATHEMATICAL BIOSCIENCES, 1992, 109 (02) :151-175

[3]

BURTON TA, 1989, J MATH ANAL APPL, V139, P240

[4]

BUSH AW, 1975, J THEOR BIOL, V63, P385

[5] UNIFORMLY PERSISTENT SYSTEMS [J].

BUTLER, G ;

FREEDMAN, HI ;

WALTMAN, P .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (03) :425-430

[6] POPULATION GROWTH RESPONSE OF ISOCHRYSIS GALBANA TO NITRATE VARIATION AT LIMITING CONCENTRATIONS [J].

CAPERON, J .

ECOLOGY, 1968, 49 (05) :866-&

[7] TIME-LAG AND CO-OPERATIVITY IN THE TRANSIENT GROWTH DYNAMICS OF MICROALGAE [J].

CUNNINGHAM, A ;

NISBET, RM .

JOURNAL OF THEORETICAL BIOLOGY, 1980, 84 (02) :189-203

[8]

Cushing J. M., 2013, INTEGRODIFFERENTIAL

[9]

FREEDMAN HI, 1983, B MATH BIOL, V45, P991, DOI 10.1016/S0092-8240(83)80073-1

[10] COEXISTENCE IN A MODEL OF COMPETITION IN THE CHEMOSTAT INCORPORATING DISCRETE DELAYS [J].

FREEDMAN, HI ;

SO, JWH ;

WALTMAN, P .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1989, 49 (03) :859-870

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