论文标题
建模民族生成
Modelling Ethnogenesis
论文作者
论文摘要
遵循L.N. -Gumilev的思想，我们介绍了民族生成的数学模型，该模型描述了以普通微分方程为角度来描述发展政体中亚组的动力学。与文明的兴衰相关的胸围动态被建模为一种激发过程，这是非线性现象，在数学生物学中众所周知。我们考虑确定性以及模型的随机版本。我们还扩展了该模型，以研究经过民族发生的两个政体之间的相互作用。使用分析方法以及数值集成（即MATLAB模拟）进行研究。
Following the ideas of L.N.Gumilev, we introduce the mathematical model of ethnogenesis which describes the dynamics of subgroups in the developing polity in terms of ordinary differential equations. The bust dynamics associated with the rise and fall of civilisations is modelled as an excitation process, which is the non-linear phenomenon, well known in mathematical biology. We consider deterministic as well as the stochastic version of the model. We also expand the model to study the interaction between two polities undergoing ethnogenesis. Investigation is performed using analytical methods as well as numerical integration (i.e. MATLAB simulation).
