Optimal control theory and fishery model | Zendy

Ahmad Feirdaous Mohd Shah | Zendy

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Optimal control theory and fishery model

Author(s) -

Ahmad Feirdaous Mohd Shah

Publication year - 2013

Publication title -

journal of development and agricultural economics

Language(s) - English

Resource type - Journals

ISSN - 2006-9774

DOI - 10.5897/jdae2013.0487

Subject(s) - maximum principle , optimal control , mathematics , euler's formula , path (computing) , hamiltonian (control theory) , euler equations , control (management) , function (biology) , zero (linguistics) , key (lock) , control theory (sociology) , mathematical analysis , computer science , mathematical optimization , biology , linguistics , philosophy , computer security , artificial intelligence , evolutionary biology , programming language

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.

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