Systems, environments, and soliton rate equations: A non-Kolmogorovian framework for population dynamics

Diederik Aerts; Marek Czachor; Maciej Kuna; Sandro Sozzo

doi:10.1016/j.ecolmodel.2013.07.010

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)

Diederik Aerts
- Vrije Universiteit Bussels Centrum Leo Apostel
Marek Czachor prof. dr hab.
Maciej Kuna dr
Sandro Sozzo
- Vrije Universiteit Brussel Centrum Leo Apostel

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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