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Monitoring of population systems

Monitoring of population systems AbstractThis is a selected overview of a research line initiated and mostly developed by the three authors over the last three decades. Applying the state space paradigm of Mathematical Systems Theory, monitoring means that from the observation (a transform) of an unknown state process, the latter should be recovered. Since most of the dynamic models of population biology are nonlinear, for solving the monitoring problem, tools of nonlinear analysis are applied in different contexts. This approach to monitoring has found different applications ranging from population ecology to radiotherapy, from stock estimation in fisheries to monitoring of solar thermal heating systems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Pure Mathematics and Applications de Gruyter

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Publisher
de Gruyter
Copyright
© 2022 Zoltán Varga et al., published by Sciendo
eISSN
1788-800X
DOI
10.2478/puma-2022-0026
Publisher site
See Article on Publisher Site

Abstract

AbstractThis is a selected overview of a research line initiated and mostly developed by the three authors over the last three decades. Applying the state space paradigm of Mathematical Systems Theory, monitoring means that from the observation (a transform) of an unknown state process, the latter should be recovered. Since most of the dynamic models of population biology are nonlinear, for solving the monitoring problem, tools of nonlinear analysis are applied in different contexts. This approach to monitoring has found different applications ranging from population ecology to radiotherapy, from stock estimation in fisheries to monitoring of solar thermal heating systems.

Journal

Pure Mathematics and Applicationsde Gruyter

Published: Oct 1, 2022

Keywords: structured population; community of populations; monitoring; observer design; 93B07; 93B18; 93B53; 92D25

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