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Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource

Published online by Cambridge University Press:  08 April 2010

L. M. Abia ,
O. Angulo ,
J. C. López-Marcos  and
M. A. López-Marcos
L. M. Abia
Affiliation:
Departamento de Matemática Aplicada. Facultad de Ciencias Universidad de Valladolid, Paseo Prado de la Magdalena sn., 47005. Valladolid. Spain
O. Angulo
Affiliation:
Departamento de Matemática Aplicada, Escuela Universitaria Politécnica Universidad de Valladolid, C/ Fco. Mendizabal 1, 47014 Valladolid, Spain
J. C. López-Marcos
Affiliation:
Departamento de Matemática Aplicada. Facultad de Ciencias Universidad de Valladolid, Paseo Prado de la Magdalena sn., 47005. Valladolid. Spain
M. A. López-Marcos*
Affiliation:
Departamento de Matemática Aplicada. Facultad de Ciencias Universidad de Valladolid, Paseo Prado de la Magdalena sn., 47005. Valladolid. Spain
*
* Corresponding author. E-mail: malm@mac.uva.es
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Abstract

In this paper, we study the numerical approximation of a size-structured population model whose dependency on the environment is managed by the evolution of a vital resource. We show that this is a difficult task: some numerical methods are not suitable for a long-time integration. We analyze the reasons for the failure.

Keywords

size-structured population modeldynamical resourcenumerical methods
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 6: Ecology (Part 2) , 2010 , pp. 1 - 21
Copyright
© EDP Sciences, 2010

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