Dynamic observers for unknown populations
| Autor: | Richard Rebarber, Stuart Townley, Brigitte Tenhumberg, Christopher Guiver, Nathan Poppelreiter |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Lur'e system
State variable Computer science Applied Mathematics Input-to-state stability Process (computing) Positive system Context (language use) Dynamic observer Nonlinear system Variable (computer science) Population ecology adaptive management dynamic observer input-to-state stability Lur’e system population ecology positive system Robustness (computer science) Population Distributions Measurement uncertainty Discrete Mathematics and Combinatorics Algorithm Adaptive management |
| Zdroj: | Guiver, C, Poppelreiter, N, Rebarber, R, Tenhumberg, B & Townley, S 2021, ' Dynamic observers for unknown populations ', Discrete and Continuous Dynamical Systems-Series B, vol. 26, no. 6, pp. 3279-3302 . https://doi.org/10.3934/dcdsb.2020232 |
| ISSN: | 1531-3492 |
| DOI: | 10.3934/dcdsb.2020232 |
| Popis: | Dynamic observers are considered in the context of structured-population 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. |
| Databáze: | OpenAIRE |
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