GLOBAL STABILITY OF A BIOLOGICAL MODEL WITH TIME-DELAY

被引：67

作者：

LENHART, SM ^{[1
]}

TRAVIS, CC ^{[1
]}

机构：

[1] OAK RIDGE NATL LAB,DIV HLTH & SAFETY RES,OAK RIDGE,TN 37830

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1986年 / 96卷 / 01期

关键词：

D O I：

10.2307/2045656

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：75 / 78

页数：4

共 19 条

[1] SOME RESULTS ON DIFFERENTIAL-DIFFERENCE EQUATION [J].

BAILEY, HR ;

WILLIAMS, MZ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 15 (03) :569-&

[2]

BEDDINGTON J R, 1975, Mathematical Biosciences, V27, P109, DOI 10.1016/0025-5564(75)90028-0

[3] ON THE USE OF REDUCIBLE-FUNCTIONAL DIFFERENTIAL-EQUATIONS IN BIOLOGICAL MODELS [J].

BUSENBERG, SN ;

TRAVIS, CC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 89 (01) :46-66

[4] 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

[5]

COOKE KL, STABILITY CONDITIONS

[6]

CUSHING JM, 1977, LECTURE NOTES BIOMAT, V20

[7] PROCEDURE FOR DETERMINATION OF EXPONENTIAL STABILITY OF CERTAIN DIFFERENTIAL-DIFFERENCE EQUATIONS [J].

DATKO, R .

QUARTERLY OF APPLIED MATHEMATICS, 1978, 36 (03) :279-292

[8]

FARGUE D, 1973, CR ACAD SCI B PHYS, V277, P471

[9]

HALE J, 1977, THEORY FUNCTIONAL DI

[10] SUFFICIENT CONDITIONS FOR STABILITY AND INSTABILITY OF AUTONOMOUS FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].

HALE, JK .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1965, 1 (04) :452-&

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