Dynamic Properties of the Solow Model with Bounded Technological Progress and Time-to-Build Technology

We introduce a time-to-build technology in a Solow model with bounded technological progress. Our analysis shows that the system may be asymptotically stable, or it can produce stability switches and Hopf bifurcations when time delay varies. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem. Numerical simulations confirms the theoretical results.

[1]  C. I. Jones,et al.  Too Much of a Good Thing? The Economics of Investment in R&D , 1999 .

[2]  L. Arnold The dynamics of the Jones R & D growth model , 2006 .

[3]  Ming-Chun Zhou Effects of power law logistic technologies on economic growth , 2011 .

[4]  M. Sodini,et al.  Nonlinear Dynamics in the Solow Model with Bounded Population Growth and Time-to-Build Technology , 2013 .

[5]  R. Solow A Contribution to the Theory of Economic Growth , 1956 .

[6]  Paul J. Zak,et al.  Kaleckian Lags in General Equilibrium , 1999 .

[7]  Yang Kuang,et al.  Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters , 2002, SIAM J. Math. Anal..

[8]  P. Romer Endogenous Technological Change , 1989, Journal of Political Economy.

[9]  Massimiliano Ferrara,et al.  Nonlinear dynamics in a Solow model with delay and non-convex technology , 2014, Appl. Math. Comput..

[10]  Charles I. Jones,et al.  Time Series Tests of Endogenous Growth Models , 1995 .

[11]  Massimiliano Ferrara,et al.  The Cai model with time delay: Existence of periodic solutions and asymptotic analysis , 2013 .

[12]  Luca Guerrini,et al.  On the Dalgaard-Strulik Model with Logistic Population Growth Rate and Delayed-Carrying Capacity , 2013 .

[13]  Marek Szydłowski,et al.  Time to build in dynamics of economic models II: models of economic growth , 2003 .

[14]  M. Sodini,et al.  Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology , 2013 .

[15]  Charles I. Jones,et al.  R & D-Based Models of Economic Growth , 1995, Journal of Political Economy.

[16]  Massimiliano Ferrara,et al.  Hopf Bifurcations in a Delayed-Energy-Based Model of Capital Accumulation , 2013 .