Evolution: geometrical and dynamical aspects.
We develop a possible axiomatic approach to the evolution theory that has been previously discussed in Freguglia [2002]. The axioms synthesize the fundamental ideas of evolution theory and allow a geometrical and dynamical interpretation of the generation law. Using the axioms we derive a simple reaction-diffusion model which introduces the species as self-organized stationary distribution of a finite population and simulates the evolution of a phenotypic character under the effect of an external perturbing action. The dynamical properties of the model are briefly presented using numerical simulations.
Freguglia
Paolo
P
Dept. of Pure and Applied Mathematics, University of L'Aquila and Domus Galilaeana, Pisa. paolo.freguglia@technet.it
Bazzani
Armando
A
D005075:Biological Evolution; D008433:Mathematics; D008954:Models, Biological