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Systems, environments, and soliton rate equations: A non-Kolmogorovian framework for population dynamics
Abstract
Soliton rate equations are based on non-Kolmogorovian models of probability and naturally include autocatalytic processes. The formalism is not widely known but has great unexplored potential for applications to systems interacting with environments. Beginning with links of contextuality to non- Kolmogorovity we introduce the general formalism of soliton rate equations and work out explicit examples of subsystems interacting with environments. Of particular interest is the case of a soliton autocatalytic rate equation coupled to a linear conservative environment, a formal way of expressing seasonal changes. Depending on strength of the system-environment coupling we observe phenomena analogous to hibernation or even complete blocking of decay of a population.
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Authors (4)
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Diederik Aerts
- Vrije Universiteit Bussels Centrum Leo Apostel
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Sandro Sozzo
- Vrije Universiteit Brussel Centrum Leo Apostel
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Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.ecolmodel.2013.07.010
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
ECOLOGICAL MODELLING
pages 80 - 92,
ISSN: 0304-3800 - Language:
- English
- Publication year:
- 2013
- Bibliographic description:
- Aerts D., Czachor M., Kuna M., Sozzo S.: Systems, environments, and soliton rate equations: A non-Kolmogorovian framework for population dynamics// ECOLOGICAL MODELLING. -, nr. 267 (2013), s.80-92
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.ecolmodel.2013.07.010
- Verified by:
- Gdańsk University of Technology
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