Constant rate population harvesting: Equilibrium and stability

Fred Brauer, David A. Sánchez

Research output: Contribution to journalArticle

67 Citations (Scopus)

Abstract

The paper studies the effect of constant rate harvesting on population models described by ordinary differential equations. The dependence of limits of populations on the harvest rate, the possibility of extinction in finite time, and the effect of the introduction of a time-lag delay on stability are studied. Various models for one population are analysed, and a geometric technique for the study of two-population models is discussed.

Original languageEnglish (US)
Pages (from-to)12-30
Number of pages19
JournalTheoretical Population Biology
Volume8
Issue number1
DOIs
StatePublished - Jan 1 1975
Externally publishedYes

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Population
extinction
rate
effect
methodology
harvest

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Constant rate population harvesting : Equilibrium and stability. / Brauer, Fred; Sánchez, David A.

In: Theoretical Population Biology, Vol. 8, No. 1, 01.01.1975, p. 12-30.

Research output: Contribution to journalArticle

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