Evolution: geometrical and dynamical aspects
Freguglia, P.; Bazzani, A.
Rivista di Biologia 96(1): 123-136
2003
ISSN/ISBN: 0035-6050 PMID: 12852178 Document Number: 561287
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.