Optimal exploitation of a spatially distributed fishery

  • Frank C. Hoppensteadt
Control Of Distributed Parameters
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 2)


Exploitation of a fish population distributed in a habitat bounded on one side by a breeding ground and on the other by an unfavorable environment is studied. The population's dynamics on the breeding grounds are assumed to be described by a simple depensatory function. The effects on this population of harvesting by a fishing fleet are determined as maximum effort and harvesting quotas are varied. In particular, threshold values for these parameters are derived beyond which an open access fishery collapses. Competition with an external fleet and dynamic optimization are discussed briefly.


Equilibrium Problem Breeding Ground Unfavorable Environment Fishing Fleet Adult Habitat 
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  1. [1]
    F. C. Hoppensteadt, Math. Meth. of Pop. Biol., (in press).Google Scholar
  2. [2]
    C. W. Clark, Math. Bio-Econ., J. Wiley, (in press).Google Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityNew York

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