PERIODIC-SOLUTIONS OF SINGLE-SPECIES MODELS WITH PERIODIC DELAY

被引：175

作者：

FREEDMAN, HI ^{[1
]}

WU, JH ^{[1
]}

机构：

[1] YORK UNIV,DEPT MATH,N YORK M3J 1P3,ONTARIO,CANADA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 03期

关键词：

SINGLE-SPECIES; POPULATION GROWTH; OSCILLATIONS; PERIODIC SOLUTIONS; DELAY EQUATIONS; GLOBAL STABILITY; FIXED POINT THEOREMS;

D O I：

10.1137/0523035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A single-species population growth model is considered, where the growth rate response to changes in its density has a periodic delay. It is shown that if the self-inhibition rate is sufficiently large compared to the reproduction rate, then the model equation has a globally asymptotically stable positive periodic solution.

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页码：689 / 701

页数：13

相关论文

共 46 条

[1] PERIODIC-SOLUTIONS TO FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].

ARINO, OA ;

BURTON, TA ;

HADDOCK, JR .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 101 :253-271

[2] LOGISTIC GROWTH IN A FLUCTUATING ENVIRONMENT [J].

ARRIGONI, M ;

STEINER, A .

JOURNAL OF MATHEMATICAL BIOLOGY, 1985, 21 (03) :237-241

[3]

BEDINGTON JR, 1975, MATH BIOSCI, V27, P109

[4]

BEUTLER KJ, 1981, QUANT POPULATION DYN, V13, P61

[5] INSTABILITY AND COMPLEX DYNAMIC BEHAVIOR IN POPULATION-MODELS WITH LONG-TIME DELAYS [J].

BLYTHE, SP ;

NISBET, RM ;

GURNEY, WSC .

THEORETICAL POPULATION BIOLOGY, 1982, 22 (02) :147-176

[6] STABILITY SWITCHES IN DISTRIBUTED DELAY MODELS [J].

BLYTHE, SP ;

NISBET, RM ;

GURNEY, WSC ;

MACDONALD, N .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 109 (02) :388-396

[7] UNIFORM STABILITIES FOR VOLTERRA-EQUATIONS [J].

BURTON, TA .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1980, 36 (01) :40-53

[8] TIME LAG IN POPULATION GROWTH RESPONSE OF ISOCHRYSIS GALBANA TO A VARIABLE NITRATE ENVIRONMENT [J].

CAPERON, J .

ECOLOGY, 1969, 50 (02) :188-&

[9] STABLE OSCILLATIONS IN SINGLE SPECIES GROWTH-MODELS WITH HEREDITARY EFFECTS [J].

COHEN, DS ;

COUTSIAS, E ;

NEU, JC .

MATHEMATICAL BIOSCIENCES, 1979, 44 (3-4) :255-267

[10] NONAUTONOMOUS LOGISTIC EQUATIONS AS MODELS OF THE ADJUSTMENT OF POPULATIONS TO ENVIRONMENTAL-CHANGE [J].

COLEMAN, BD .

MATHEMATICAL BIOSCIENCES, 1979, 45 (3-4) :159-173

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