Abstract
A mathematical model of an urban civilization is presented. Both time- and space-dependence of the four main variables, population, rural commodities, urban commodities, and state power, are described by coupled partial differential equations. The interaction of the variables produces a complex time evolution of the whole living system. Numerical solution of the equations reveals a number of realistic predictions, including class stratification and destruction of states by conquest. The limitations of the very simple ideas used in constructing the model suggest avenues of further research.
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