Analysis of a predator-prey system with predator switching

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

In this paper, we consider an interaction of prey and predator species where prey species have the ability of group defence. Thresholds, equilibria and stabilities are determined for the system of ordinary differential equations. Taking carrying capacity as a bifurcation parameter, it is shown that a Hopf bifurcation can occur implying that if the carrying capacity is made sufficiently large by enrichment of the environment, the model predicts the eventual extinction of the predator providing strong support for the so-called 'paradox of enrichment'.

Original languageEnglish
Pages (from-to)109-123
Number of pages15
JournalBulletin of Mathematical Biology
Volume66
Issue number1
DOIs
Publication statusPublished - Jan 2004

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Predator prey systems
Hopf bifurcation
Bifurcation (mathematics)
Carrying Capacity
Predator-prey System
Conservation of Natural Resources
Predator
Prey
bifurcation
carrying capacity
Ordinary differential equations
predator
predators
Paradox
System of Ordinary Differential Equations
Extinction
Hopf Bifurcation
extinction
Bifurcation
Predict

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Analysis of a predator-prey system with predator switching. / Khan, Q. J A; Balakrishnan, E.; Wake, G. C.

In: Bulletin of Mathematical Biology, Vol. 66, No. 1, 01.2004, p. 109-123.

Research output: Contribution to journalArticle

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