An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking

M. R. Myerscough; B. F. Gray; W. L. Hogarth; J. Norbury

doi:10.1007/BF00173294

An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking

M. R. Myerscough^*, B. F. Gray, W. L. Hogarth, J. Norbury

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

55 Citations (Scopus)

Abstract

An analysis is presented for a model of a two-species predator-prey system where each species can be harvested or stocked. Using methods from bifurcation theory the qualitative nature of the steady-state solutions is examined. The effect of harvesting and stocking rates and the prey carrying capacity is examined in detail.

Original language	English
Pages (from-to)	389-411
Number of pages	23
Journal	Journal of Mathematical Biology
Volume	30
Issue number	4
DOIs	https://doi.org/10.1007/BF00173294
Publication status	Published - 1992

Keywords

Bifurcation
Degeneracy
Limit cycles
Predator-prey model
Rosenzweig-MacArthur equations

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10.1007/BF00173294

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title = "An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking",

abstract = "An analysis is presented for a model of a two-species predator-prey system where each species can be harvested or stocked. Using methods from bifurcation theory the qualitative nature of the steady-state solutions is examined. The effect of harvesting and stocking rates and the prey carrying capacity is examined in detail.",

keywords = "Bifurcation, Degeneracy, Limit cycles, Predator-prey model, Rosenzweig-MacArthur equations",

author = "Myerscough, {M. R.} and Gray, {B. F.} and Hogarth, {W. L.} and J. Norbury",

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AU - Hogarth, W. L.

AU - Norbury, J.

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AB - An analysis is presented for a model of a two-species predator-prey system where each species can be harvested or stocked. Using methods from bifurcation theory the qualitative nature of the steady-state solutions is examined. The effect of harvesting and stocking rates and the prey carrying capacity is examined in detail.

KW - Bifurcation

KW - Degeneracy

KW - Limit cycles

KW - Predator-prey model

KW - Rosenzweig-MacArthur equations

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JF - Journal of Mathematical Biology

SN - 0303-6812

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ER -

An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking

Abstract

Keywords

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