Coexistence properties of some predator-prey systems under constant rate harvesting and stocking

Fred Brauer, A. C. Soudack

Research output: Contribution to journalArticle

79 Citations (Scopus)

Abstract

The global behaviour of a class of predator-prey systems, modelled by a pair of non-linear ordinary differential equations, under constant rate harvesting and/or stocking of both species, is presented. Theoretically possible structures and transitions are developed and validated by computer simulations. The results are presented as transition loci in the F-G (prey harvest rate-predator harvest rate) plane.

Original languageEnglish (US)
Pages (from-to)101-114
Number of pages14
JournalJournal of Mathematical Biology
Volume12
Issue number1
DOIs
StatePublished - Jan 1 1982
Externally publishedYes

Fingerprint

Predator prey systems
Predator-prey System
Harvesting
Rate Constant
Ordinary differential equations
Coexistence
Computer Simulation
predators
Computer simulation
Nonlinear Ordinary Differential Equations
Predator
Prey
computer simulation
Locus
loci
Class

Keywords

  • Harvesting
  • Predator-prey systems
  • Stability

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Mathematics (miscellaneous)

Cite this

Coexistence properties of some predator-prey systems under constant rate harvesting and stocking. / Brauer, Fred; Soudack, A. C.

In: Journal of Mathematical Biology, Vol. 12, No. 1, 01.01.1982, p. 101-114.

Research output: Contribution to journalArticle

@article{b9317ef5bff843dca059764e0989aede,
title = "Coexistence properties of some predator-prey systems under constant rate harvesting and stocking",
abstract = "The global behaviour of a class of predator-prey systems, modelled by a pair of non-linear ordinary differential equations, under constant rate harvesting and/or stocking of both species, is presented. Theoretically possible structures and transitions are developed and validated by computer simulations. The results are presented as transition loci in the F-G (prey harvest rate-predator harvest rate) plane.",
keywords = "Harvesting, Predator-prey systems, Stability",
author = "Fred Brauer and Soudack, {A. C.}",
year = "1982",
month = "1",
day = "1",
doi = "10.1007/BF00275206",
language = "English (US)",
volume = "12",
pages = "101--114",
journal = "Journal of Mathematical Biology",
issn = "0303-6812",
publisher = "Springer Verlag",
number = "1",

}

TY - JOUR

T1 - Coexistence properties of some predator-prey systems under constant rate harvesting and stocking

AU - Brauer, Fred

AU - Soudack, A. C.

PY - 1982/1/1

Y1 - 1982/1/1

N2 - The global behaviour of a class of predator-prey systems, modelled by a pair of non-linear ordinary differential equations, under constant rate harvesting and/or stocking of both species, is presented. Theoretically possible structures and transitions are developed and validated by computer simulations. The results are presented as transition loci in the F-G (prey harvest rate-predator harvest rate) plane.

AB - The global behaviour of a class of predator-prey systems, modelled by a pair of non-linear ordinary differential equations, under constant rate harvesting and/or stocking of both species, is presented. Theoretically possible structures and transitions are developed and validated by computer simulations. The results are presented as transition loci in the F-G (prey harvest rate-predator harvest rate) plane.

KW - Harvesting

KW - Predator-prey systems

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=0019862153&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0019862153&partnerID=8YFLogxK

U2 - 10.1007/BF00275206

DO - 10.1007/BF00275206

M3 - Article

AN - SCOPUS:0019862153

VL - 12

SP - 101

EP - 114

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

SN - 0303-6812

IS - 1

ER -