| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4500283 | Mathematical Biosciences | 2012 | 9 Pages |
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 remaining stock size after 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.
► We propose a general deterministic fishery model. ► The model considers closed seasons alternated with impulsive captures. ► The non captured biomass determines the length of the next close season. ► The process is described by a new type of impulsive differential equation. ► We obtain a threshold on fishing effort ensuring sustainability.
