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Mathematical Biosciences and Engineering

2013, Volume 10, Issue 5&6: 1365-1379. doi: 10.3934/mbe.2013.10.1365
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Metering effects in population systems

  • 1.
    School of Mathematical & Natural Sciences, Arizona State University, 4701 W. Thunderbird Rd, Glendale, AZ, 85306
  • 2.
    Mathematics Department, University of Texas at Arlington, Box 19408, Arlington, TX 76019-0408
  • 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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  • © 2013 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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