Artículo

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

Troncoso, P.; Fierro, O.; Curilef, S.; Plastino, Ángel RicardoIcon
Fecha de publicación: 12/2007
Editorial: Elsevier Science
Revista: Physica A: Statistical Mechanics and its Applications
ISSN: 0378-4371
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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 timedependent solutions exhibiting a maximum nonextensive q-entropy shape are obtained.q-entropy shape are obtained.
Palabras clave: Nonlinear diffusion , Fisher equation , Population dynamics , Nonextensive entropy
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/242100
URL: https://www.sciencedirect.com/science/article/pii/S0378437106010569
DOI: http://dx.doi.org/10.1016/j.physa.2006.10.010
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Articulos de CTRO.CIENTIFICO TECNOL.CONICET - LA PLATA
Citación
Troncoso, P.; Fierro, O.; Curilef, S.; Plastino, Ángel Ricardo; A family of evolution equations with nonlinear diffusion, Verhulst growth, and global regulation: Exact time-dependent solutions; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 375; 2; 12-2007; 457-466
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