%0 Journal Article %T A pulse fishery model with closures as function of the catch: Conditions for sustainability %A Fernando C¨®rdova-Lepe %A Rodrigo del Valle %A Gonzalo Robledo %J Quantitative Biology %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1110.6413v1