Adaptive limiter control of unimodal population maps

Daniel Franco, Frank M Hilker

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We analyse the adaptive limiter control (ALC) method, which was recently proposed for stabilizing population oscillations and experimentally tested in laboratory populations and metapopulations of Drosophila melanogaster. We thoroughly explain the mechanisms that allow ALC to reduce the magnitude of population fluctuations under certain conditions. In general, ALC is a control strategy with a number of useful properties (e.g. being globally asymptotically stable), but there may be some caveats. The control can be ineffective or even counterproductive at small intensities, and the interventions can be extremely costly at very large intensities. Based on our analytical results, we describe recipes how to choose the control intensity, depending on the range of population sizes we wish to target. In our analysis, we highlight the possible importance of initial transients and classify them into different categories.
LanguageEnglish
Pages161-173
Number of pages13
JournalJournal of Theoretical Biology
Volume337
Early online date26 Aug 2013
DOIs
StatusPublished - 21 Nov 2013

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Limiter
Limiters
Population
Population Density
Drosophila melanogaster
oscillation
control methods
Metapopulation
population size
Globally Asymptotically Stable
Drosophilidae
Population Size
Control Strategy
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Classify
Oscillation
Fluctuations
Target
Range of data

Cite this

Adaptive limiter control of unimodal population maps. / Franco, Daniel; Hilker, Frank M.

In: Journal of Theoretical Biology, Vol. 337, 21.11.2013, p. 161-173.

Research output: Contribution to journalArticle

Franco, Daniel ; Hilker, Frank M. / Adaptive limiter control of unimodal population maps. In: Journal of Theoretical Biology. 2013 ; Vol. 337. pp. 161-173.
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