Journal of
Development and Agricultural Economics

  • Abbreviation: J. Dev. Agric. Econ.
  • Language: English
  • ISSN: 2006-9774
  • DOI: 10.5897/JDAE
  • Start Year: 2009
  • Published Articles: 528

Review

Optimal control theory and fishery model

M. A. Shah
  • M. A. Shah
  • Department of Statistics, University of Rajshahi, Rajshahi-6205, Bangladesh
  • Google Scholar


  •  Accepted: 11 October 2013
  •  Published: 31 December 2013

Abstract

Adequate numbers of relations have been provided to find the three unknowns following three equations: the state equation, the adjoint equation and maximum principle equation. If rigor is sacrificed, then a partial solution is quickly obtained by using the concept of calculus of variation. Our appealing and intuitive harvesting policy would be that, refrain from harvesting along the singular path, because zero harvest is not optimal.

Key words: Harvesting, bang-bang-control, singular control, maximum principle hamiltonian, Euler equation and switching function.