Stability Analysis of a Fractional-Order Time-Delayed Solow Growth Model with Environmental Pollution

Author:

Gu Yajuan1,Wang Hu2

Affiliation:

1. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China

2. School of Statistics and Mathematics, Central University of Finance and Economics, Beijing 102206, China

Abstract

Economic growth is resulting in serious environmental problems. Effectively establishing an economic growth model that considers environmental pollution is an important topic. To analyze the interplay between economic growth and environmental pollution, a fractional-order time-delayed economic growth model with environmental purification is proposed in this paper. The established model considers not only the environment and economic production but also the labor force population and total factor productivity. Furthermore, the asymptotic stability conditions and parameter stability interval are provided. Finally, in numerical experiments, the correctness of the theory is verified.

Funder

National Natural Science Foundation of China

Disciplinary Foundation of Central University of Finance and Economics

Research Fund of Beijing Information Science & Technology University

Qin Xin Talents Cultivation Program Beijing Information Science & Technology University

Publisher

MDPI AG

Reference47 articles.

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3. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Applications of Fractional Differential Equations, Elsevier.

4. Concepcion, M.A., Chen, Y., Vinagre, M., and Xue, D. (2010). Fractional-Order Systems and Controls, Springer.

5. Coupled continuous time random walks in finance;Meerschaert;Physical A,2006

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