De-stabilization of predator-prey systems under enrichment

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A predator-prey system is modelled by a pair of ordinary differential equations. Conditions are given under which enrichment of the system by increasing the prey carrying capacity leads to instability. More specifically, it is shown that there is a transition from a stable equilibrium point to oscillations and a stable limit cycle.

Original languageEnglish (US)
Pages (from-to)541-552
Number of pages12
JournalInternational Journal of Control
Volume23
Issue number4
DOIs
StatePublished - Jan 1 1976
Externally publishedYes

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Predator prey systems
Ordinary differential equations
Stabilization

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering

Cite this

De-stabilization of predator-prey systems under enrichment. / Brauer, Fred.

In: International Journal of Control, Vol. 23, No. 4, 01.01.1976, p. 541-552.

Research output: Contribution to journalArticle

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