Dynamic Cycle Analysis of a Solow Model With Time Delays

LI Jiaorui; ZHANG Yanxia

doi:10.21656/1000-0887.380184

Volume 39 Issue 3

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LI Jiaorui, ZHANG Yanxia. Dynamic Cycle Analysis of a Solow Model With Time Delays[J]. Applied Mathematics and Mechanics, 2018, 39(3): 334-342. doi: 10.21656/1000-0887.380184

Citation:

LI Jiaorui, ZHANG Yanxia. Dynamic Cycle Analysis of a Solow Model With Time Delays[J]. Applied Mathematics and Mechanics, 2018, 39(3): 334-342. doi: 10.21656/1000-0887.380184

Citation:

LI Jiaorui, ZHANG Yanxia. Dynamic Cycle Analysis of a Solow Model With Time Delays[J]. Applied Mathematics and Mechanics, 2018, 39(3): 334-342. doi: 10.21656/1000-0887.380184

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Dynamic Cycle Analysis of a Solow Model With Time Delays

doi: 10.21656/1000-0887.380184

Xi’an Statistical Research Institute, Xi’an University of Finance and Economics, Xi’an 710100, P.R.China

Funds: The National Natural Science Foundation of China（11572231）

Received Date: 2017-06-28
Rev Recd Date: 2018-01-04
Publish Date: 2018-03-15

Abstract

Abstract

Based on the classical Solow model, a dual delay Solow model was proposed for the first time in view of the capital production investment time delay, the pollution treatment investment time delay and the environment purification parameters, to analyze the dynamic evolution mechanism of the economyenvironment system. Then the dynamic periodic fluctuation behavior of the model was discussed. The results show that the economic cycle will be triggered by any individual investment time delay or both 2 delays; with the increasing of the time delay, the economic cyclic fluctuation will become more intense; the appropriate adjustment of the investment policy will help achieve the expected equilibrium objective, and the stable cyclic operation of the economyenvironment system can be realized.
- Solow model,
- time delay,
- economic cycle,
- Hopf bifurcation,
- limit cycle

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References(17)

References

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