Principle of Minimum Discrimination Information and Replica Dynamics

Principle of Minimum Discrimination Information and Replica Dynamics

Dynamics of many complex systems can be described by replicator equations (RE). Here we present an effective method for solving a wide class of RE based on reduction theorems for models of inhomogeneous communities. The solutions of the RE minimize the discrimination information of the initial and c...

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Bibliographic Details
Main Author: Georgiy P. Karev
Format: Article
Language:English
Published: MDPI AG 2010-06-01
Series:Entropy
Subjects:
replicator equation
selection system
model reduction
discrimination information
cross-entropy
Online Access:http://www.mdpi.com/1099-4300/12/7/1673/
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spelling doaj-5c94ddc2b1924a66b745b441fc036f102020-11-24T22:44:27ZengMDPI AGEntropy1099-43002010-06-011271673169510.3390/e12071673Principle of Minimum Discrimination Information and Replica DynamicsGeorgiy P. KarevDynamics of many complex systems can be described by replicator equations (RE). Here we present an effective method for solving a wide class of RE based on reduction theorems for models of inhomogeneous communities. The solutions of the RE minimize the discrimination information of the initial and current distributions at each point of the system trajectory, not only at the equilibrium, under time-dependent constraints. Applications to inhomogeneous versions of some conceptual models of mathematical biology (logistic and Ricker models of populations and Volterra’ models of communities) are given. http://www.mdpi.com/1099-4300/12/7/1673/replicator equationselection systemmodel reductiondiscrimination informationcross-entropy
collection DOAJ
language English
format Article
sources DOAJ
author Georgiy P. Karev
spellingShingle Georgiy P. Karev
Principle of Minimum Discrimination Information and Replica Dynamics
Entropy
replicator equation
selection system
model reduction
discrimination information
cross-entropy
author_facet Georgiy P. Karev
author_sort Georgiy P. Karev
title Principle of Minimum Discrimination Information and Replica Dynamics
title_short Principle of Minimum Discrimination Information and Replica Dynamics
title_full Principle of Minimum Discrimination Information and Replica Dynamics
title_fullStr Principle of Minimum Discrimination Information and Replica Dynamics
title_full_unstemmed Principle of Minimum Discrimination Information and Replica Dynamics
title_sort principle of minimum discrimination information and replica dynamics
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2010-06-01
description Dynamics of many complex systems can be described by replicator equations (RE). Here we present an effective method for solving a wide class of RE based on reduction theorems for models of inhomogeneous communities. The solutions of the RE minimize the discrimination information of the initial and current distributions at each point of the system trajectory, not only at the equilibrium, under time-dependent constraints. Applications to inhomogeneous versions of some conceptual models of mathematical biology (logistic and Ricker models of populations and Volterra’ models of communities) are given.
topic replicator equation
selection system
model reduction
discrimination information
cross-entropy
url http://www.mdpi.com/1099-4300/12/7/1673/
work_keys_str_mv AT georgiypkarev principleofminimumdiscriminationinformationandreplicadynamics
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