| Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 6, 2010
Ecology (Part 2)
|
|
|---|---|---|
| Page(s) | 1 - 21 | |
| DOI | https://doi.org/10.1051/mmnp/20105601 | |
| Published online | 08 April 2010 | |
Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource
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
* Corresponding author. E-mail: malm@mac.uva.es
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.
Mathematics Subject Classification: 35Q80 / 92D25 / 92D40 / 65M25 / 35B40
Key words: size-structured population model / dynamical resource / numerical methods
© EDP Sciences, 2010
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