| Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 3, 2012
Epidemiology
|
|
|---|---|---|
| Page(s) | 168 - 185 | |
| DOI | https://doi.org/10.1051/mmnp/20127311 | |
| Published online | 06 June 2012 | |
Modelling and Mathematical Analysis of the Glass Eel Migration in the Adour River Estuary
UMR CNRS 5142 - IPRA BP 1155 64013
Pau Cedex -
France
⋆ Corresponding author. E-mail: guy.vallet@univ-pau.fr
In this paper we are interested in a mathematical model of migration of grass eels in an estuary. We first revisit a previous model proposed by O. Arino and based on a degenerate convection-diffusion equation of parabolic-hyperbolic type with time-varying subdomains. Then, we propose an adapted mathematical framework for this model, we prove a result of existence of a weak solution and we propose some numerical simulations.
Mathematics Subject Classification: 92A18 / 35K65
Key words: mathematical modelling / glass eels / degenerate convection-diffusion
© EDP Sciences, 2012
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