Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource

In this paper, we analyze the convergence of a second order numerical method for the approximation of a size-structured population model whose dependency on the environment is managed by the evolution of a vital resource. Optimal rate of convergence is derived. Numerical experiments are also reporte...

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Main Authors:	Oscar Angulo, J C Lopez-Marcos, M A Lopez-Marcos
Format:	Article
Language:	English
Published:	Biomath Forum 2014-06-01
Series:	Biomath
Subjects:	structured population models numerical methods convergence Daphnia magna
Online Access:	http://www.biomathforum.org/biomath/index.php/biomath/article/view/209

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spelling	doaj-f526737c469e44f69f7d80794529e8112020-11-24T21:17:48ZengBiomath ForumBiomath1314-684X1314-72182014-06-013110.11145/209231Numerical Analysis of a Size-Structured Population Model with a Dynamical ResourceOscar Angulo0J C Lopez-MarcosM A Lopez-MarcosUniversidad de ValladolidIn this paper, we analyze the convergence of a second order numerical method for the approximation of a size-structured population model whose dependency on the environment is managed by the evolution of a vital resource. Optimal rate of convergence is derived. Numerical experiments are also reported to demonstrate the predicted accuracy of the scheme. Also, it is applied for the solution of a problem that describes the dynamics of a Daphnia magna population, paying attention to the unstable case.http://www.biomathforum.org/biomath/index.php/biomath/article/view/209structured population modelsnumerical methodsconvergenceDaphnia magna
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Oscar Angulo J C Lopez-Marcos M A Lopez-Marcos
spellingShingle	Oscar Angulo J C Lopez-Marcos M A Lopez-Marcos Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource Biomath structured population models numerical methods convergence Daphnia magna
author_facet	Oscar Angulo J C Lopez-Marcos M A Lopez-Marcos
author_sort	Oscar Angulo
title	Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource
title_short	Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource
title_full	Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource
title_fullStr	Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource
title_full_unstemmed	Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource
title_sort	numerical analysis of a size-structured population model with a dynamical resource
publisher	Biomath Forum
series	Biomath
issn	1314-684X 1314-7218
publishDate	2014-06-01
description	In this paper, we analyze the convergence of a second order numerical method for the approximation of a size-structured population model whose dependency on the environment is managed by the evolution of a vital resource. Optimal rate of convergence is derived. Numerical experiments are also reported to demonstrate the predicted accuracy of the scheme. Also, it is applied for the solution of a problem that describes the dynamics of a Daphnia magna population, paying attention to the unstable case.
topic	structured population models numerical methods convergence Daphnia magna
url	http://www.biomathforum.org/biomath/index.php/biomath/article/view/209
work_keys_str_mv	AT oscarangulo numericalanalysisofasizestructuredpopulationmodelwithadynamicalresource AT jclopezmarcos numericalanalysisofasizestructuredpopulationmodelwithadynamicalresource AT malopezmarcos numericalanalysisofasizestructuredpopulationmodelwithadynamicalresource
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Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource

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