STABILITY REGIONS IN PREDATOR-PREY SYSTEMS WITH CONSTANT-RATE PREY HARVESTING

被引：139

作者：

BRAUER, F ^{[1
]}

SOUDACK, AC ^{[1
]}

机构：

[1] UNIV BRITISH COLUMBIA,DEPT ELECT ENGN,VANCOUVER V6T 1W5,BC,CANADA

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1979年 / 8卷 / 01期

关键词：

Catastrophes; Predator-prey systems; Stability;

D O I：

10.1007/BF00280586

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We analyze the global behavior of a predator-prey system, modelled by a pair of non-linear ordinary differential equations, under constant-rate prey harvesting. By methods analogous to those used to study predator harvesting, we characterize the theoretically possible structures and transitions. With the aid of a computer simulation we construct examples to show which of these transitions can be realized in a biologically plausible model. © 1979 Springer-Verlag.

引用

页码：55 / 71

页数：17

共 6 条

[1] STABILIZATION AND DESTABILIZATION OF PREDATOR-PREY SYSTEMS UNDER HARVESTING AND NUTRIENT ENRICHMENT
BRAUER, F
SOUDACK, AC
JAROSCH, HS
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1976, 23 (04) : 553 - 573
[2] STABILITY REGIONS AND TRANSITION PHENOMENA FOR HARVESTED PREDATOR-PREY SYSTEMS
BRAUER, F
SOUDACK, AC
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1979, 7 (04) : 319 - 337
[3] Holling C.S., 1965, MEM ENTOMOL SOC CAN, V45, P3
[4] LOTKA AJ, 1924, ELEMENTS PHYSICAL BI
[5] May RM., 1976, THEORETICAL ECOLOGY
[6] Volterra V, 1931, LECONS THEORIE MATH

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