Papers in the Biological Sciences
Date of this Version
6-2021
Document Type
Article
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.
Included in
Bioinformatics Commons, Computational Biology Commons, Other Animal Sciences Commons, Population Biology Commons