Individuals are increasingly exposed to news and opinion from beyond national borders in a world that is becoming more and more globalised. This news and opinion is often concentrated in clusters of ideological homophily such as political parties, factions or interest groups. But how does exposure to cross-border information affect the diffusion of ideas across national and ideological borders? Here we develop a non-linear mathematical model for the cross-border spread of two ideologies by using an epidemiological approach. The populations of each country are assumed to be a constant and homogeneously mixed. We solve the system of differential equations numerically and show how small changes in the influence of a minority ideology can trigger shifts in the global political equilibrium.
翻译:在一个日益全球化的世界中,个人越来越多地受到来自国界以外新闻和观点的影响,这种新闻和观点往往集中在意识形态同质的集团,如政党、派别或利益集团。但是,跨国界信息如何影响思想跨越国家和意识形态边界的传播?在这里,我们开发了一个非线性数学模型,通过流行病学方法使两种意识形态跨界传播。每个国家的人口被认为是一个不变的、单一的混合体。我们用数字方法解决了差别方程式制度,并表明少数意识形态的影响变化如何小能够引发全球政治平衡的转变。