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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Open Systems & Infor...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Open Systems & Information Dynamics
Article . 1992 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1992
Data sources: zbMATH Open
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Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology

Authors: Antonelli, Peter L.; Křivan, Vlastimil;

Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology

Abstract

Summary: The familiar procedure of adding white noise to deterministic systems of equations may not be appropriate or even possible in some modelling problems arising in the biological sciences. Although some mathematical handle on indeterminant factors (i.e. ``noise'') may be necessary, sometimes the probabilistic requirements involved cannot be rigorously verified for the data set at hand. As an alternative, we discuss here the modelling utility of fuzzy differential inclusions associated with given systems of nonlinear ODE's. We give concrete examples and give account of the conservative stochastic mechanics of \textit{E. Nelson} [see ``Quantum fluctuations.'' (1985; Zbl 0563.60001)] applied to growth of a dimorphic clone, and its fuzzy differential inclusion analogue.

Related Organizations
Keywords

Ecology, Ordinary differential equations and systems with randomness, fuzzy differential inclusions, Markov processes

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
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