Qualitative study and algorithms in the mathematical model of innovation diffusion.
type: Item
instance of: scholarly article
title: Qualitative study and algorithms in the mathematical model of innovation diffusion.
zbMATH Open document ID: 1092.91060
DOI: 10.1023/A:1024255825249
author: S. N. Avvakumov
author: Yu. N. Kiselev
published in: Journal of Mathematical Sciences (New York)
publication date: 2004-08-24T00:00:00Z
review text: 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)].
reviewed by: Emil Panek
Mathematics Subject Classification ID: 91B62
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 91B06
zbMATH DE Number: 2094848
zbMATH Keywords: diffusion process
zbMATH Keywords: nonlinear control system
zbMATH Keywords: economic dynamics
zbMATH Keywords: Pontriagin maximum principle
MaRDI profile type: Publication
full work available at URL: a:1024255825249
OpenAlex ID: W121209009
description: scientific article; zbMATH DE number 2094848