Basic Reproduction Ratio for a Fishery Model in a Patchy Environment

Acta Biotheoretica (forthcoming)
Abstract
Abstract   We present a dynamical model of a multi-site fishery. The fish stock is located on a discrete set of fish habitats where it is catched by the fishing fleet. We assume that fishes remain on fishing habitats while the fishing vessels can move at a fast time scale to visit the different fishing sites. We use the existence of two time scales to reduce the dimension of the model : we build an aggregated model considering the habitat fish densities and the total fishing effort. We explore a regulation procedure, which imposes an average residence time in patches. Several equilibria exist, a Fishery Free Equilibria (FFEs) as well as a Sustainable Fishery Equilibria (SFEs). We show that the dynamics depends on a threshold which is similar to a basic reproduction ratio for the fishery. When the basic reproduction ratio is less or equal to 1, one of the FFEs is globally asymptotically stable (GAS), otherwise one of the SFEs is GAS. Content Type Journal Article Category Regular Article Pages 1-22 DOI 10.1007/s10441-012-9155-3 Authors Pierre Auger, UMI IRD 209, UMMISCO, & université Pierre et Marie Curie, Paris VI. IRD France Nord, 93143 Bondy, France Ali Moussaoui, Département de Mathématiques, Université Aboubekr Belkaid, Tlemcen, Algeria Gauthier Sallet, INRIA project team: MASAIE, INRIA-Nancy Grand Est, Nancy, France Journal Acta Biotheoretica Online ISSN 1572-8358 Print ISSN 0001-5342
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index Translate to english
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 10,322
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Citations of this work BETA

No citations found.

Similar books and articles
Analytics

Monthly downloads

Added to index

2012-03-17

Total downloads

7 ( #176,304 of 1,096,519 )

Recent downloads (6 months)

3 ( #93,642 of 1,096,519 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.