DELAY DIFFERENTIAL AND INTEGRO-DIFFERENTIAL EQUATIONS IN BIOLOGICAL COMPARTMENT MODELS.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Compartmental models play an important role in the mathematical description of biological processes. In establishing such models it is usually assumed that material transport between compartments is instantaneous (requiring an infinitesimally small time). However, for some biological processes a model in which transit between compartments takes a finite, non-negligible length of time is better suited. We investigate the latter kind of compartmental systems in the case when transit times are distributed according to probability distribution functions and in consequence the model equations are integro-differential equations. In the case of linear models we investigate the properties (such as stability and boundedness) of the solutions of model equations, and for the nonlinear case we raise some questions that are interesting from the theoretical point of view.

Original languageEnglish
Pages (from-to)167-187
Number of pages21
JournalSystems Science
Volume8
Issue number2-3
Publication statusPublished - Dec 1 1982

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications

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