Metering effects in population systems

  • Received: 01 August 2012 Accepted: 29 June 2018 Published: 01 August 2013
  • MSC : Primary: 00A71, 37N25; Secondary: 92D25.

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

    Citation: Erika T. Camacho, Christopher M. Kribs-Zaleta, Stephen Wirkus. Metering effects in population systems[J]. Mathematical Biosciences and Engineering, 2013, 10(5&6): 1365-1379. doi: 10.3934/mbe.2013.10.1365

    Related Papers:

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


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