De-stabilization of predator-prey systems under enrichment

Fred Brauer

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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
Issue number4
StatePublished - Apr 1976
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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