Abstract

This study compares the effects of two types of metering (periodic resetting and periodic increments) on one variable in a dynamical system, relative to the behavior of the corresponding system with an equivalent level of constant recruitment (influx). While the level of the target population in the constant-influx system generally remains between the local extrema of the same population in the metered model, the same is not always true for other state variables in the system. These effects are illustrated by applications to models for chemotherapy dosing and for eating disorders in a school setting.

Original languageEnglish (US)
Pages (from-to)1365-1379
Number of pages15
JournalMathematical Biosciences and Engineering
Volume10
Issue number5-6
DOIs
Publication statusPublished - Oct 2013

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Keywords

  • Bulimia
  • Discontinuities
  • Drug dosing
  • Dynamical systems
  • Metered model

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation
  • Computational Mathematics
  • Agricultural and Biological Sciences(all)
  • Medicine(all)

Cite this

Metering effects in population systems. / Camacho, Erika; Kribs-Zaleta, Christopher; Wirkus, Stephen.

In: Mathematical Biosciences and Engineering, Vol. 10, No. 5-6, 10.2013, p. 1365-1379.

Research output: Contribution to journalArticle