Constant Rate Population Harvesting: Equilibrium and Stability.

Abstract

The paper studies the effect of constant rate harvesting on population models described by ordinary differential equations. The dependence of limits on 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. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1974
Accession Number
AD0787736

Entities

People

  • David A. Sanchez
  • Fred Brauer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Differential Equations
  • Equations
  • Extinction
  • Mathematics

Fields of Study

  • Biology
  • Mathematics

Readers

  • Aquatic Ecology
  • Control Systems Engineering.
  • Regression Analysis.