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Journal Articles JP Journal of Applied Mathematics Year : 2011

A viability analysis for an explicit inshore-offshore model

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Abstract

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 and versions

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

Identifiers

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

Cite

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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