A family of evolution equations with nonlinear diffusion,Verhulst growth,and global regulation: Exact time-dependent solutions |
| |
| Authors: | P Troncoso O Fierro S Curilef AR Plastino |
| |
| Institution: | 1. Departamento de Física,Universidad Católica del Norte, Antofagasta, Chile;2. Physics Department, University of Pretoria, Pretoria 0002, South Africa;3. Faculty of Astronomy and Geophysics, National University La Plata and Conicet, Casilla de Correo 727, La Plata 1900, Argentina |
| |
| 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 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
