多层进化图及其固定概率的研究

Research of multi-level evolutionary graph and its fixation probability

在进化图论的框架下，运用双层进化图模型及其相关理论扩展出多层进化图模型，并计算了其上突变个体的固定概率．阐述了有关多层进化图的基本理论．此研究所得结果在丰富了进化图理论的同时，也将多层进化图的应用扩展到了其他学科领域．

In the framework of evolutionary graph theory, this paper achieved the multi-level evolutionary graph model and calculated its fixation probability of a mutant by using bi-level evolutionary graph model and its basic theory. Meanwhile, introduced the correlation theory of the multi-level evolutionary graph. The corresponding conclusions not only flourished the evolutionary graph theory, hut also expanded the application of the rnulti-level evolutionary graph theory into other discipline domain.