Some theoretical and numerical aspects of modelling dispersion in the development of ectotherms

K. Schuhmacher, H. Thieme

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Boxcartrain (i.e. special distributed delay) models simulate the dispersion which is observed in the duration of temperature-driven development of ectothermic animals by adapting the discretization of the developmental process. The procedure suffers from the drawback that only special distribution profiles of developmental duration can be simulated and that profile and discretization are inevitably linked. As an alternative we suggest a continuous maturation model for ectothermic development which can describe arbitrary profiles of developmental duration. We reinterpret and generalize boxcartrain models in this framework and discuss discrete approximations which are robust against fluctuations of maturation and mortality rates.

Original languageEnglish (US)
Pages (from-to)565-594
Number of pages30
JournalComputers and Mathematics with Applications
Volume15
Issue number6-8
DOIs
StatePublished - 1988
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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