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Principle of Minimum Discrimination Information and Replica Dynamics
Lockheed Martin MSD, National Institutes of Health, Bldg. 38A, Rm. 5N511N, 8600 Rockville Pike, Bethesda, MD 20894, USA
Received: 4 March 2010; in revised form: 15 June 2010 / Accepted: 18 June 2010 / Published: 28 June 2010
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
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MDPI and ACS Style
Karev, G.P. Principle of Minimum Discrimination Information and Replica Dynamics. Entropy 2010, 12, 1673-1695.
Karev GP. Principle of Minimum Discrimination Information and Replica Dynamics. Entropy. 2010; 12(7):1673-1695.
Karev, Georgiy P. 2010. "Principle of Minimum Discrimination Information and Replica Dynamics." Entropy 12, no. 7: 1673-1695.