A family of evolution equations with nonlinear diffusion, Verhulst growth, and global regulation: Exact time-dependent solutions

A family of evolution equations describing a power-law nonlinear diffusion process coupled with a local Verhulst-like growth dynamics, and incorporating a global regulation mechanism, is considered. These equations admit an interpretation in terms of population dynamics, and are related to the so-called conserved Fisher equation. Exact time-dependent solutions exhibiting a maximum nonextensive q-entropy shape are obtained.

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Year of publication:	2007
Authors:	Troncoso, P. ; Fierro, O. ; Curilef, S. ; Plastino, A.R.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 375.2007, 2, p. 457-466
Publisher:	Elsevier
Subject:	Nonlinear diffusion \| Fisher equation \| Population dynamics \| Nonextensive entropy

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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