On Models of Economic Development, Taking Into Account Lending

A new approach to the construction of mathematical models of complex socio-economic systems is described. The period of economic growth consisting of intervals equal in duration is considered. It is assumed that per capita consumption at each interval is limited from below. The choice of restrictions, providing growth of welfare of individuals, is supported by the process of taking and repayment loans. In contrast to the classical Ramsey-Solow model, it is proposed to minimize the total income for the period. The neoclassical function of economic growth is approximated at each interval by a linear function. It is shown that the development of the economy strategy, obtained with the help of a new approach, allows reducing damage to the environment.