Dynamical analysis of Kaldor business cycle model with variable depreciation rate of capital stock

Junjie Mao; Xiaowei Liu; Junjie Mao; Xiaowei Liu

doi:10.3934/math.2020213

AIMS Mathematics

2020, Volume 5, Issue 4: 3321-3330. doi: 10.3934/math.2020213

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Research article

Dynamical analysis of Kaldor business cycle model with variable depreciation rate of capital stock

Junjie Mao ,
Xiaowei Liu ^,

School of Mathematics and Statistics, Qilu University of Technology(Shandong Academy of Sciences), Jinan 250353, China

Received: 01 December 2019 Accepted: 24 March 2020 Published: 30 March 2020
MSC : 34A34

In this paper, the Kaldor business cycle model with variable depreciation rate of the capital stock are investigate the existence, uniqueness and stability of the positive equilibrium point, and the existence of the periodic solution and Hopf bifurcation respectively. Finally, we analyze the dynamic behaviors of the specific system and perform numerical simulations.
- Kaldor business cycle model,
- stability,
- Hopf bifurcation,
- periodic solution
Citation: Junjie Mao, Xiaowei Liu. Dynamical analysis of Kaldor business cycle model with variable depreciation rate of capital stock[J]. AIMS Mathematics, 2020, 5(4): 3321-3330. doi: 10.3934/math.2020213

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Abstract

In this paper, the Kaldor business cycle model with variable depreciation rate of the capital stock are investigate the existence, uniqueness and stability of the positive equilibrium point, and the existence of the periodic solution and Hopf bifurcation respectively. Finally, we analyze the dynamic behaviors of the specific system and perform numerical simulations.

References

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