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

P. Troncoso, O. Fierro, S. Curilef and A.R. Plastino

Physica A: Statistical Mechanics and its Applications, 2007, vol. 375, issue 2, 457-466

Abstract: 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.

Keywords: Nonlinear diffusion; Fisher equation; Population dynamics; Nonextensive entropy (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:375:y:2007:i:2:p:457-466

DOI: 10.1016/j.physa.2006.10.010

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