Asymptotic Behavior of a Delay Differential Neoclassical Growth Model

Akio Matsumoto and Ferenc Szidarovszky
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Akio Matsumoto: Department of Economics, Chuo University, 742-1, Higashi-Nakano, Hachioji, Tokyo, 192-0393, Japan
Ferenc Szidarovszky: Department of Applied Mathematics, University of Pecs, Ifjusag u. 6, H-7624, Pecs, Hungary

Sustainability, 2013, vol. 5, issue 2, 1-16

Abstract: A 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.

Keywords: neoclassical growth model; fixed time delay; Hopf bifurcation (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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