title: Evolution: geometrical and dynamical aspects.
abstract: 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.
authors.affiliation: Dept. of Pure and Applied Mathematics, University of L'Aquila and Domus Galilaeana, Pisa. paolo.freguglia@technet.it
authors.forename: Paolo
authors.initials: P
authors.lastname: Freguglia
authors.forename: Armando
authors.initials: A
authors.lastname: Bazzani
mesh_terms: D005075:Biological Evolution; D008433:Mathematics; D008954:Models, Biological