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Dynamic Analysis for a Kaldor–Kalecki Model of Business Cycle with Time Delay and Diffusion Effect
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The dynamics behaviors of Kaldor–Kalecki business cycle model with diffusion effect and time delay under the Neumann boundary conditions are investigated.
First the conditions of time-independent and time-dependent stability are investigated.
Then, we find that the time delay can give rise to the Hopf bifurcation when the time delay passes a critical value.
Moreover, the normal form of Hopf bifurcations is obtained by using the center manifold theorem and normal form theory of the partial differential equation, which can determine the bifurcation direction and the stability of the periodic solutions.
Finally, numerical results not only validate the obtained theorems, but also show that the diffusion coefficients play a key role in the spatial pattern.
With the diffusion coefficients increasing, different patterns appear.
American Psychological Association (APA)
Hu, Wenjie& Zhao, Hua& Dong, Tao. 2018. Dynamic Analysis for a Kaldor–Kalecki Model of Business Cycle with Time Delay and Diffusion Effect. Complexity،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1132708
Modern Language Association (MLA)
Hu, Wenjie…[et al.]. Dynamic Analysis for a Kaldor–Kalecki Model of Business Cycle with Time Delay and Diffusion Effect. Complexity No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1132708
American Medical Association (AMA)
Hu, Wenjie& Zhao, Hua& Dong, Tao. Dynamic Analysis for a Kaldor–Kalecki Model of Business Cycle with Time Delay and Diffusion Effect. Complexity. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1132708
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132708