Geodesic
Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource
L. M. Abia1 ; O. Angulo2 ; J. C. López-Marcos1 ; M. A. López-Marcos1
1 Departamento de Matemática Aplicada. Facultad de Ciencias Universidad de Valladolid, Paseo Prado de la Magdalena sn., 47005. Valladolid. Spain
2 Departamento de Matemática Aplicada, Escuela Universitaria Politécnica Universidad de Valladolid, C/ Fco. Mendizabal 1, 47014 Valladolid, Spain
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 6, pp. 1-21.

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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.
DOI : 10.1051/mmnp/20105601

L. M. Abia 1 ; O. Angulo 2 ; J. C. López-Marcos 1 ; M. A. López-Marcos 1

1 Departamento de Matemática Aplicada. Facultad de Ciencias Universidad de Valladolid, Paseo Prado de la Magdalena sn., 47005. Valladolid. Spain
2 Departamento de Matemática Aplicada, Escuela Universitaria Politécnica Universidad de Valladolid, C/ Fco. Mendizabal 1, 47014 Valladolid, Spain 
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L. M. Abia; O. Angulo; J. C. López-Marcos; M. A. López-Marcos. Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 6, pp. 1-21. doi : 10.1051/mmnp/20105601. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105601/

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