Modeles De Croissance Fractale : Epidemies, Evolutions En Biologie, Ecologie, Trafic, Economie

TL;DR

This paper explores fractal growth models across various fields like biology, ecology, traffic, and economics, emphasizing their ability to reproduce power law behaviors in complex systems.

Contribution

It introduces the adaptation of simple fractal growth and decay models with appropriate degrees of freedom to simulate real-world phenomena.

Findings

Models can reproduce power law behaviors in different systems

Fractal concepts help understand propagation in biological and economic contexts

Adapted models illustrate growth and control of epidemics

Abstract

Several simple growth and decay models use concepts and measures from fractal geometry. Kinetic models relevant to condensed matter observations arerecalled. They should be specifically adapted with appropriate degrees of freedom in order to reproduce power law behaviors, e.g. of species extinctions, cloud fracture, financial crashes. This allows one to illustrate scientific problems relevant to the growth and control of epidemias, and other event or entity propagation in biology, ecology, traffic and economy.