Freguglia Paolo, Bazzani Armando
Dept. of Pure and Applied Mathematics, University of L'Aquila and Domus Galilaeana, Pisa.
Riv Biol. 2003 Jan-Apr;96(1):123-36.
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.
我们提出了一种可能的公理化方法来研究进化理论，该理论此前已在弗雷古利亚[2002]中进行过讨论。这些公理综合了进化理论的基本思想，并允许对生成定律进行几何和动力学解释。利用这些公理，我们推导出一个简单的反应扩散模型，该模型将物种引入为有限种群的自组织稳态分布，并模拟了在外部扰动作用下表型特征的进化。通过数值模拟简要介绍了该模型的动力学性质。
