GLOBAL ANALYSIS OF A SYSTEM OF PREDATOR PREY EQUATIONS

被引：95

作者：

CONWAY, ED ^{[1
]}

SMOLLER, JA ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1986年 / 46卷 / 04期

关键词：

D O I：

10.1137/0146043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：630 / 642

页数：13

共 21 条

[1] DYNAMICS OF 2 INTERACTING POPULATIONS [J].

ALBRECHT, F ;

GATZKE, H ;

HADDAD, A ;

WAX, N .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 46 (03) :658-670

[2] GLOBAL BIFURCATIONS OF PERIODIC ORBITS [J].

ALEXANDER, JC ;

YORKE, JA .

AMERICAN JOURNAL OF MATHEMATICS, 1978, 100 (02) :263-292

[3] ON THE CONTINUABILITY OF PERIODIC-ORBITS OF PARAMETRIZED 3-DIMENSIONAL DIFFERENTIAL-EQUATIONS [J].

ALEXANDER, JC ;

YORKE, JA .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 49 (02) :171-184

[4] UNIQUENESS OF A LIMIT-CYCLE FOR A PREDATOR-PREY SYSTEM [J].

CHENG, KS .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (04) :541-548

[5]

Chow S.N., 2012, METHODS BIFURCATION

[6]

Freedman H. I., 1980, DETERMINISTIC MATH M

[7]

Gause GF., 1934, STRUGGLE EXISTENCE, DOI DOI 10.5962/BHL.TITLE.4489

[8] ENRICHED PREDATOR-PREY SYSTEMS - THEORETICAL STABILITY [J].

ROSENZWEIG, ML .

SCIENCE, 1972, 177 (4052) :904-+

[9]

Guckenheimer J., 2013, NONLINEAR OSCILLATIO, V42

[10] MULTIPLE LIMIT-CYCLES IN PREDATOR-PREY MODELS [J].

HASTINGS, A .

JOURNAL OF MATHEMATICAL BIOLOGY, 1981, 11 (01) :51-63

← 1 2 3 →