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Article Dans Une Revue JP Journal of Applied Mathematics Année : 2011

A viability analysis for an explicit inshore-offshore model

Résumé

This paper presents a useful dynamic model dealing with the management of a marine renewable resource, in which the fish stock consists of two geographical subpopulations (one inshore, one offshore) with diffusion between the two. The analytical study focuses on the compatibility between the state constraints and the controlled dynamics. Using the mathematical concept of viability kernel, we define a set of constraints combining the guarantee of consumption and a stock of resources to be preserved at all times.
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Dates et versions

hal-00858572 , version 1 (05-09-2013)

Identifiants

  • HAL Id : hal-00858572 , version 1
  • PRODINRA : 45617

Citer

Mounir Jerry, Nadia Raissi, Alain Rapaport. A viability analysis for an explicit inshore-offshore model. JP Journal of Applied Mathematics, 2011, 1 (1), pp.41-60. ⟨hal-00858572⟩
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