Stability Regions in Predator-Prey Systems with Constant-Rate Prey Harvesting.

Abstract

We analyze the global behavior of a predator-prey system, modelled by a pair of nonlinear ordinary differential equations, under constant-rate prey harvesting. By methods analogous to those used to study predator harvesting, we characterize the theoretically possible structures and transitions. With the aid of a computer simulation we construct examples to show which of these transitions can be realized in a biologically plausible model. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA068935

Entities

People

  • A. C. Soudack
  • F. Brauer

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • British Columbia
  • Canada
  • Collapse
  • Computational Science
  • Computer Simulations
  • Computers
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Extinction
  • Mathematics
  • North Carolina
  • Quadrants
  • Simulations
  • United States
  • Wisconsin

Fields of Study

  • Biology
  • Mathematics

Readers

  • Control Systems Engineering.
  • Marine Mammal Biology
  • Theoretical Analysis.