Dynamic Input–Output Models in Environmental Problems: A Computational Approach with CAS Software

Abstract

The study of interactions between the economy and the environment has always been an interesting subject. Apart from static input---output (IO) models, environmentally extended IO analysis has resulted in dynamic IO models as well. Dynamic models are built of differential equations and, in the case of discrete models with the help of difference equations. The dynamic approach requires advanced mathematical skills especially in cases where the stability of the system under study is considered. In this paper we state some applied environmental models in discrete time based on dynamic IO analysis and we propose a computational approach in computer algebra system environments that investigates the extent and the nature of their stability. The computer codes are fully presented and can be reproduced as they are in computational-based research practice and education.