Response of predator-prey systems to nutrient enrichment and proportional harvesting

F. Brauer, A. C. Soudack

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

A predator-prey System is modelled by a pair of ordinary differential equations, and the qualitative effects of prey nutrient enrichment and predator harvesting at a rate proportional to the predator population size are studied. Some theoretical analysis concerning the stability of equilibrium points and the existence of stable limit cycles are included. Three models are examined as examples, and for two of them computer simulations are included to illustrate the changes in qualitative behaviour under nutrient enrichment and increase of harvesting effort. The essential difference between this study and our previous work on constant-rate harvesting (Brauer et al. 1976) is that, here, extinction of predators in finite time is impossible although the predator population may tend to zero as l→∞.

Original languageEnglish (US)
Pages (from-to)65-86
Number of pages22
JournalInternational Journal of Control
Volume27
Issue number1
DOIs
StatePublished - Jan 1978
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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