Chapman-Enskog asymptotic procedure in structured population dynamics

Banasiak, J. and Shindin, S. (2010) Chapman-Enskog asymptotic procedure in structured population dynamics. Il nuovo cimento C, 33 (1). pp. 31-38. ISSN 1826-9885

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Complexity of many biological models often makes impossible their robust theoretical and numerical analysis and thus requires a systematical method of reducing the number of variables in the system in such a way that the dynamics of the simplified model approximates the original way in a reasonable way. Such an aggregation of variables is often done by ad hoc methods. In turns out that in many biological systems the well-known Chapman-Enskog asymptotic procedure is well suited for aggregation which then can be viewed as passing from a microscopic (kinetic) to a macroscopic (hydrodynamic) description of the system. We demonstrate this approach by applying it to an age- and space-structured population model.

Item Type: Article
Uncontrolled Keywords: Approximations and expansions ; Partial differential equations ; Computational techniques; simulations ; Population dynamics and ecological pattern formation
Subjects: 500 Scienze naturali e Matematica > 510 Matematica
Depositing User: Marina Spanti
Date Deposited: 31 Mar 2020 15:15
Last Modified: 31 Mar 2020 15:15

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