MATHEMATICAL-ANALYSIS OF SOME 3-SPECIES FOOD-CHAIN MODELS

被引:186
作者
FREEDMAN, HI
WALTMAN, P
机构
[1] UNIV ALBERTA, DEPT MATH, EDMONTON, ALBERTA, CANADA
[2] UNIV IOWA, DEPT MATH, IOWA CITY, IA 52240 USA
关键词
D O I
10.1016/0025-5564(77)90142-0
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
引用
收藏
页码:257 / 276
页数:20
相关论文
共 29 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]  
Andronov A, 1973, QUALITATIVE THEORY 2
[3]   TIME LAGS IN ECOLOGICAL SYSTEMS [J].
BARCLAY, H ;
VANDENDRIESSCHE, P .
JOURNAL OF THEORETICAL BIOLOGY, 1975, 51 (02) :347-356
[4]   STABILITY OF FOODWEBS AND ITS RELATION TO SPECIES DIVERSITY [J].
CONRAD, M .
JOURNAL OF THEORETICAL BIOLOGY, 1972, 34 (02) :325-+
[5]  
DEANGELIS DL, 1975, ECOLOGY, V56, P238
[6]   GRAPHICAL STABILITY, ENRICHMENT, AND PEST-CONTROL BY A NATURAL ENEMY [J].
FREEDMAN, HI .
MATHEMATICAL BIOSCIENCES, 1976, 31 (3-4) :207-225
[7]   PERTURBATION OF 2-DIMENSIONAL PREDATOR-PREY EQUATIONS [J].
FREEDMAN, HI ;
WALTMAN, P .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1975, 28 (01) :1-10
[8]   PERTURBATION OF 2-DIMENSIONAL PREDATOR-PREY EQUATIONS WITH AN UNPERTURBED CRITICAL-POINT [J].
FREEDMAN, HI ;
WALTMAN, P .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1975, 29 (04) :719-733
[9]  
GALLOPIN GC, 1972, AM MIDL NAT, V87, P336, DOI 10.2307/2423566
[10]   VOLTERRA AND OTHER NONLINEAR MODELS OF INTERACTING POPULATIONS [J].
GOEL, NS ;
MAITRA, SC ;
MONTROLL, EW .
REVIEWS OF MODERN PHYSICS, 1971, 43 (02) :231-+