Optimal harvesting in predator-prey systems

Fred Brauer, A. C. Soudack

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We study the harvesting of predators in a predator-prey system as an optimal control problem with the goal of maximizing the long-term average yield. We show that the maximum yield can not be greater than the largest constant-rate harvest for which the system has an equilibrium, provided the controlled system tends to an equilibrium or has a periodic solution. We also give some examples indicating practical strategies using either bang-bang or instantaneous harvests whose yields approach this maximum.

Original languageEnglish (US)
Pages (from-to)111-128
Number of pages18
JournalInternational Journal of Control
Volume41
Issue number1
DOIs
StatePublished - Jan 1985
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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