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Modelling and Mathematical Analysis of the Glass Eel Migration in the Adour River Estuary

Published online by Cambridge University Press:  06 June 2012

M. Odunlami  and
G. Vallet
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Abstract

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.

Keywords

mathematical modellingglass eelsdegenerate convection-diffusion
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 3: Epidemiology , 2012 , pp. 168 - 185
Copyright
© EDP Sciences, 2012

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