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Entropy 2010, 12(7), 1673-1695; doi:10.3390/e12071673
Article

Principle of Minimum Discrimination Information and Replica Dynamics

Received: 4 March 2010 / Revised: 15 June 2010 / Accepted: 18 June 2010 / Published: 28 June 2010
(This article belongs to the Special Issue Entropy in Model Reduction)
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Abstract

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.
Keywords: replicator equation; selection system; model reduction; discrimination information; cross-entropy replicator equation; selection system; model reduction; discrimination information; cross-entropy
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Karev, G.P. Principle of Minimum Discrimination Information and Replica Dynamics. Entropy 2010, 12, 1673-1695.

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