Dynamical analysis of the Solow model with time delay and pollution

Nana Tian; Dongwei Huang

doi:10.1117/12.3018097

15 January 2024 Dynamical analysis of the Solow model with time delay and pollution

Nana Tian, Dongwei Huang

Proceedings Volume 12983, Second International Conference on Electrical, Electronics, and Information Engineering (EEIE 2023); 129832I (2024) https://doi.org/10.1117/12.3018097
Event: Second International Conference on Electrical, Electronics, and Information Engineering (EEIE 2023), 2023, Wuhan, China

Abstract

In this paper, considering the impact of scientific and technological progress on economy and environment, we introduce the factors of scientific and technological progress into the Solow model with pollution; considering that in the financial market, due to the lack of information, the lack of talents and other real factors will lead to a lag in the supply effect of investment, we also introduce the lag of investment into the Solow model with pollution. We conduct a stability analysis of the optimized model. The stability switching properties of the transcendental characteristic equation and the critical values of the Hopf bifurcation gotten from the stability analysis are studied by choosing time delay and technological progress as bifurcation parameters, respectively. In addition, we can adjust the parameter values of time delay and technological progress, and then adjust the stability of the system. The results of the theoretical analysis of nonlinear dynamics are confirmed by numerical simulations.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Nana Tian and Dongwei Huang "Dynamical analysis of the Solow model with time delay and pollution", Proc. SPIE 12983, Second International Conference on Electrical, Electronics, and Information Engineering (EEIE 2023), 129832I (15 January 2024); https://doi.org/10.1117/12.3018097

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