This paper is an application of delay differential equations to entrepreneurship and unemployment. It shows that the results of empirical studies can be replicated through a simple DDE. The paper also carries out a comparative study between a solution of a DDE and the observation of cyclic behaviors. The calculated delay (and growth rate) of the entrepreneurship DDE for the US and Spain is 1.25 years (1.25), for Ireland is 1.75 years (0.89), and for the UK is 2 years (0.78). The delay (and growth rate) of the unemployment DDE for the US and Ireland is 1.5 years (1.04), for Spain is 2 years (0.78), and for the UK is 2.5 years (0.62).
Frontiers of Economics in China – Brill
Published: Jan 1, 2013
Keywords: new firms; employment creation; cycles; delay differential equations
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