Evolution: geometrical and dynamical aspects.

Paolo Freguglia; Armando Bazzani

PubMed · 12852178

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.

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Paolo Freguglia, Armando Bazzani. Evolution: geometrical and dynamical aspects.. https://pubmed.ncbi.nlm.nih.gov/12852178/

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