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arXiv · 1110.6413

A pulse fishery model with closures as function of the catch: Conditions for sustainability

Fernando Córdova-Lepe·Rodrigo del Valle·Gonzalo Robledo
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Abstract

We present a model of single species fishery which alternates closed seasons with pulse captures. The novelty is that the length of a closed season is determined by the stock size of the last capture. The process is described by a new type of impulsive differential equations recently introduced. The main result is a fishing effort threshold which determines either the sustainability of the fishery or the extinction of the resource.

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Fernando Córdova-Lepe, Rodrigo del Valle, Gonzalo Robledo. 2011-10-13. A pulse fishery model with closures as function of the catch: Conditions for sustainability. https://arxiv.org/abs/1110.6413

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