A variational approach to the stock–recruitment relationship in fish population dynamic | Zendy

Granieri Luca | Zendy

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A variational approach to the stock–recruitment relationship in fish population dynamic

Author(s) -

Granieri Luca

Publication year - 2010

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1387

Subject(s) - mathematics , population dynamics of fisheries , stock (firearms) , population , fish <actinopterygii> , mathematical optimization , calculus (dental) , econometrics , mathematical economics , fishery , geography , demography , biology , sociology , medicine , archaeology , dentistry

We deal with a variational model of the stock–recruitment (S‐R) relationship in fish dynamic. In this model, the S‐R relationship is characterized as a minimizer of a suitable integral energy functional. By basic tools of Calculus of Variations, a necessary condition is derived. As application, the derived condition is used to test the equilibrium of the recruitment level. An exploratory numerical procedure is also discussed. Copyright © 2010 John Wiley & Sons, Ltd.

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