Asymptotic Behavior of a Delay Differential Neoclassical Growth Model
AbstractA neoclassical growth model is examined with a special mound-shaped production function. Continuous time scales are assumed and a complete steady state and stability analysis is presented. Fixed delay is then assumed and it is shown how the asymptotic stability of the steady state is lost if the delay reaches a certain threshold, where Hopf bifurcation occurs. In the case of continuously distriubuted delays, we show that with small average delays stability is preserved, then lost at a threshold, then it is regained if the average delay becomes sufficiently large. The occurence of Hopf bifurcation is shown at both critical values.
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Bibliographic InfoArticle provided by MDPI, Open Access Journal in its journal Sustainability.
Volume (Year): 5 (2013)
Issue (Month): 2 (January)
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neoclassical growth model ; fixed time delay; Hopf bifurcation;
Find related papers by JEL classification:
- Q - Agricultural and Natural Resource Economics; Environmental and Ecological Economics
- Q0 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General
- Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation
- Q3 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation
- Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics
- Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth
- O13 - Economic Development, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
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