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The purpose of this study is to study interdependence between growth and economic geography. We build a two-regional growth model of endogenous wealth under perfect and imperfect competition by integrating the three basic models – the Solow-Uzawa growth model, the Krugman two-region model, and the Dixit-Stiglitz imperfect competition model – in economic theory. The economy in our approach is composed of three sectors – the capital goods sector as in the Solow one sector, the consumer goods sector as in the Uzawa model, and the intermediates sector as in the Dixit-Stiglitz model. The economy is composed of two regions as in the Krugman two-region model with intermediates produced in the two regions under imperfect competition. The household behavior is modelling by synthesizing Zhang’s concept of disposable income and utility function and the Dixit-Stiglitz concept of composite good and utility function. We build and simulate the model. We identify existence of equilibrium. We examine effects of changes in some parameters on economic geography. We examined the effects of changes in some parameters on economic geography. For instance, we showed that as the transportation cost falls, the population is more concentrated on one region, the numbers of varieties of intermediates are reduced, the output level of each firm in the intermediate sector is increased, the household consumes more each intermediate good, and prices of all intermediate goods are reduced

This paper is devoted to a numerical study of defining of parameters of dynamical systems arising in financial and economic problems. The importance of parameters that are difficult to measure is great, so defining them will help to make forecasts and a work plan for the future at the governmental level. An effective way to restore parameters is to solve the inverse problem. The method of coefficient recovery using the algorithm of differential evolution, which was proposed by Rainer Storn and Kenneth Price, is presented in this paper. On the example of solving the direct problem of the mathematical model of neoclassical economic growth of Robert Solow and the results obtained, the inverse problem was solved and unknown parameters were determined. The Solow model is based on the Cobb-Douglas production function, taking into account labor, capital and exogenous neutral technical progress. Also, for further calculations, the economic model proposed by Mankiw-Romer-Weil based on the Solow model was considered, but with the addition of human capital, where the number of variables and coefficients that need to be restored has already increasing. A direct problem was also solved, results were obtained that were applied in the algorithm of differential evolution for parameters recovery.

В работе предложено обобщение модели Солоу, когда изменения ресурсов в производственной функции описывается производными дробных порядков в смысле Герасимова – Капуто. В результате мы приходим к важной экономической величине – капиталовооружонности, в которая характеризуется стпенными функциями типа Миттаг-Леффлера.