Asymptotic analysis of structured population models

Jacek Banasiak, Amartya Goswami, Sergey Shindin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Describing real world phenomena we produce models with ever increasing complexity. While very accurate, such models are very costly and cumbersome to analyse and often require data hard to obtain and tend to yield information which is redundant in specific applications. It is thus important to be able to derive simplified sub-models which still contain relevant information in a particular context but are more tractable. In biological applications this process is called 'aggregation' of variables and is often based on separation of multiple time scales in the model. In this paper we describe how techniques of asymptotic analysis of singularly perturbed problems can be used to obtain in a systematic way a complete system of approximating equations and illustrate this approach on a example of a population equation of McKendrick type with age and space structure.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2008
Number of pages4
Publication statusPublished - 2008
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008 - Psalidi, Kos, Greece
Duration: 16 Sept 200820 Sept 2008

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


ConferenceInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008
CityPsalidi, Kos


  • Aggregation of variables
  • Asymptotic analysis
  • Boundary layer
  • Corner layer
  • Initial layer
  • Singular perturbation
  • Structured population models

ASJC Scopus subject areas

  • General Physics and Astronomy


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