Differential movement and movement bias models for marine protected areas
type: Item
instance of: scholarly article
title: Differential movement and movement bias models for marine protected areas
zbMATH Open document ID: 1262.34049
author: Louise Riotte-Lambert
author: Craig W. Osenberg
author: Patrick De Leenheer
author: Jessica B. Langebrake
published in: Journal of Mathematical Biology
publication date: 2012-10-22T00:00:00Z
review text: In connection with marine protected areas for overfished stocks, the authors consider mathematical models constructed by means of boundary value problems for partial (and for describing the steady state -- ordinary) differential equations. In the first of the considered models, the parameters are piecewise constant with the diffusion coefficient and mortality rate different inside and outside the protected area. Next, a movement bias model is studied. It is supposed here that at the boundary, the probability of moving to the protected area is higher than of moving outside. Finally, a model with constant diffusion coefficient and smooth in the space variable mortality rate is considered. Different models are analyzed and compared with empirical evidence.
reviewed by: Sergei A. Brykalov
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34B60
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 6097158
zbMATH Keywords: marine protected areas
zbMATH Keywords: mathematical modelling in biology
zbMATH Keywords: boundary value problems
Wikidata QID: Q46931707
MaRDI profile type: Publication
full work available at URL: s00285-011-0407-7
OpenAlex ID: W2153011968
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DOI: 10.1007/S00285-011-0407-7
description: scientific article; zbMATH DE number 6097158