We consider a mathematical model of an age-structured population of some fisheries (for example, anchovies, sardines or soles). Two time scales are involved in the problem: the fast time scale for the migration dynamics and the slow time scale for the demographic process. At a first step, we study the so called ``aggregated'' system by means of the semigroups theory. Then, we study the asymptotic behaviour of the model by using the Chapman-Enskog procedure. In particular, we study initial, boundary and corner layer effects in order to obtain the exact initial and boundary conditions the approximate solution has to satisfy.

Lisi, M., & Totaro, S. (2005). The Chapman-Enskog procedure for an age-structured population model: initial, boundary and corner layer corrections Math. Biosci.,. MATHEMATICAL BIOSCIENCES, 196, 153-156 [10.1016/j.mbs.2005.02.006].

The Chapman-Enskog procedure for an age-structured population model: initial, boundary and corner layer corrections Math. Biosci.,

TOTARO, SILVIA
2005

Abstract

We consider a mathematical model of an age-structured population of some fisheries (for example, anchovies, sardines or soles). Two time scales are involved in the problem: the fast time scale for the migration dynamics and the slow time scale for the demographic process. At a first step, we study the so called ``aggregated'' system by means of the semigroups theory. Then, we study the asymptotic behaviour of the model by using the Chapman-Enskog procedure. In particular, we study initial, boundary and corner layer effects in order to obtain the exact initial and boundary conditions the approximate solution has to satisfy.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/8805
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