Source-sink impulsive bioeconomic models: Seasonal closures with fixed length

The dynamics of four source-sink models for an exploited resource under a constant fishing effort are here presented. Two models are described by ordinary differential equations; the other two are expressed by impulsive differential equations systems. A continuous time growth function for the resour...

Full description

Saved in:
Bibliographic Details
Published in:Journal of difference equations and applications 2011-05, Vol.17 (5), p.721-735
Main Authors: Córdova-Lepe, F., González-Olivares, E., Pinto, M.
Format: Article
Language:English
Subjects:
Differential equations
Dynamical systems
Dynamics
Fisheries
Fishing
impulsive differential equations
Marine
Mathematical models
Ordinary differential equations
periodicity
Preserves
Renewable resources
Reserves
seasonal closures
source-sink model
stability
Sustainable development
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The dynamics of four source-sink models for an exploited resource under a constant fishing effort are here presented. Two models are described by ordinary differential equations; the other two are expressed by impulsive differential equations systems. A continuous time growth function for the resource is assumed for each of the four model. The impulsiveness in the harvest activity among fixed seasonal closures were considered in the models expressed by impulsive differential equations. We note that all our models show the possibility of getting a sustainable resource exploitation. The results obtained using both techniques are compared. These metapopulation models suggest the convenience of considering the source patches as marine reserves, in order to preserve the renewable resources.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190903179343