Papers in the Biological Sciences
Brigitte Tenhumberg Papers
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Document Type
Article
Date of this Version
6-2021
Citation
Published in Discrete and Continuous Dynamical Systems Series B, Volume 26, Number 6 (June 2021), pp. 3279-3302
doi:10.3934/dcdsb.2020232
Abstract
Dynamic observers are considered in the context of structuredpopulation modeling and management. Roughly, observers combine a known measured variable of some process with a model of that process to asymptotically reconstruct the unknown state variable of the model. We investigate the potential use of observers for reconstructing population distributions described by density-independent (linear) models and a class of density-dependent (nonlinear) models. In both the density-dependent and -independent cases, we show, in several ecologically reasonable circumstances, that there is a natural, optimal construction of these observers. Further, we describe the robustness these observers exhibit with respect to disturbances and uncertainty in measurement.
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