Metering effects in population systems
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 theco...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1365 |
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| author | Erika T. Camacho Christopher M. Kribs-Zaleta Stephen Wirkus |
| author_facet | Erika T. Camacho Christopher M. Kribs-Zaleta Stephen Wirkus |
| author_sort | Erika T. Camacho |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-009a905074b44631983cb4d1178d1f99 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-009a905074b44631983cb4d1178d1f992025-01-24T02:26:34ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-07-01105&61365137910.3934/mbe.2013.10.1365Metering effects in population systemsErika T. Camacho0Christopher M. Kribs-Zaleta1Stephen Wirkus2School of Mathematical & Natural Sciences, Arizona State University, 4701 W. Thunderbird Rd, Glendale, AZ, 85306Mathematics Department, University of Texas at Arlington, Box 19408, Arlington, TX 76019-0408School of Mathematical & Natural Sciences, Arizona State University, 4701 W. Thunderbird Rd, Glendale, AZ, 85306This 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.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1365bulimia.metered modeldrug dosingdynamical systemsdiscontinuities |
| spellingShingle | Erika T. Camacho Christopher M. Kribs-Zaleta Stephen Wirkus Metering effects in population systems Mathematical Biosciences and Engineering bulimia. metered model drug dosing dynamical systems discontinuities |
| title | Metering effects in population systems |
| title_full | Metering effects in population systems |
| title_fullStr | Metering effects in population systems |
| title_full_unstemmed | Metering effects in population systems |
| title_short | Metering effects in population systems |
| title_sort | metering effects in population systems |
| topic | bulimia. metered model drug dosing dynamical systems discontinuities |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1365 |
| work_keys_str_mv | AT erikatcamacho meteringeffectsinpopulationsystems AT christophermkribszaleta meteringeffectsinpopulationsystems AT stephenwirkus meteringeffectsinpopulationsystems |