Qualitative study and algorithms in the mathematical model of innovation diffusion. (Q1874990)

The paper presents the mathematical model of the economic dynamics, which describes a new technology of the absorption process (innovation diffusion process) in the finite time horizon economy. The authors use the Pontriagin maximum principle to describe the particular nonlinear, nonstationary optimum control problem and present the results of some numerical experiments. To understand better a deep sense of the presented paper and the substance of the economic model (formulated in this paper) we need to study some of the earlier papers written by the authors and/or for example the book: [\textit{G. M. Grossman} and \textit{E. Helpman}, Innovation and growth in the global economy (MIT Press, Cambridge) (1991)].