STABILITY REGIONS AND TRANSITION PHENOMENA FOR HARVESTED PREDATOR-PREY SYSTEMS

被引：110

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 / 7卷 / 04期

关键词：

Harvesting; Predator-prey systems;

D O I：

10.1007/BF00275152

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We analyze the global behaviour of a predator-prey system under constant-rate predator harvesting, showing how to classify the possibilities and determine the region of asymptotic stability by a combination of relatively elementary theoretical methods and computer simulations. © 1979 Springer-Verlag.

引用

页码：319 / 337

页数：19

共 13 条

[1] DYNAMICS OF 2 INTERACTING POPULATIONS
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[2] STABILIZATION AND DESTABILIZATION OF PREDATOR-PREY SYSTEMS UNDER HARVESTING AND NUTRIENT ENRICHMENT
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SOUDACK, AC
JAROSCH, HS
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1976, 23 (04) : 553 - 573
[3] DESTABILIZATION OF PREDATOR-PREY SYSTEMS UNDER ENRICHMENT
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[J]. INTERNATIONAL JOURNAL OF CONTROL, 1976, 23 (04) : 541 - 552
[4] BRAUER F, UNPUBLISHED
[5] THEORY OF PREY-PREDATOR OSCILLATIONS
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[J]. THEORETICAL POPULATION BIOLOGY, 1976, 9 (02) : 137 - 150
[6] Coddington E. A., 1955, THEORY ORDINARY DIFF
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[10] BIFURCATIONS AND TRAJECTORIES JOINING CRITICAL-POINTS
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[J]. ADVANCES IN MATHEMATICS, 1975, 18 (03) : 306 - 358

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