Long-run economic growth in the delay spatial Solow model

REFERENCES

• Antras, P. (2004). Is the U.S. aggregate production function Cobb–Douglas? New estimates of the elasticity of substitution. The B.E. Journal of Macroeconomics, 4(1), Article 4. https://doi.org/10.2202/1534-6005.1161
   Google Scholar
• Arrow, K. J., Chenery, H. B., Minhas, B. S., & Solow, R. M. (1961). Capital–labor substitution and economic efficiency. The Review of Economics and Statistics, 43(3), 225–250. https://doi.org/10.2307/1927286
   Google Scholar
• Barelli, P., & de Abreu Pessôa, S. (2003). Inada conditions imply that production function must be asymptotically Cobb–Douglas. Economics Letters, 81(3), 361–363. https://doi.org/10.1016/S0165-1765(03)00218-0
   Google Scholar
• Braverman, E., & Liz, E. (2012). Global stabilization of periodic orbits using a proportional feedback control with pulses. Nonlinear Dynamics, 67(4), 2467–2475. https://doi.org/10.1007/s11071-011-0160-x
   Google Scholar
• Brock, W. A. (1973). A polluted golden age. In V. L. Smith (Ed.), Economics of natural and environmental resources (pp. 441–461). Gordon & Breach.
   Google Scholar
• Buedo-Fernández, S. (2019). On the gamma-logistic map and applications to a delayed neoclassical model of economic growth. Nonlinear Dynamics, 96(1), 219–227. https://doi.org/10.1007/s11071-019-04785-1
   Google Scholar
• Buedo-Fernández, S., & Liz, E. (2018). On the stability properties of a delay differential neoclassical model of economic growth. Electronic Journal of Qualitative Theory of Differential Equations, 2018(1), 1–14. https://doi.org/10.14232/ejqtde.2018.1.43
   Google Scholar
• Camacho, C., & Zou, B. (2004). The spatial Solow model. Economics Bulletin, 18, 1–11. http://www.economicsbulletin.com/2004/volume18/EB-04R10001A.pdf.
   Google Scholar
• Capasso, V., Engbers, R., & La Torre, D. (2010). On a spatial Solow model with technological diffusion and nonconcave production function. Nonlinear Analysis: Real World Applications, 11(5), 3858–3876. https://doi.org/10.1016/j.nonrwa.2010.01.016
   Google Scholar
• Coppel, W. A. (1955). The solution of equations by iteration. Mathematical Proceedings of the Cambridge Philosophical Society, 51(1), 41–43. https://doi.org/10.1017/S030500410002990X
   Google Scholar
• Cull, P. (2007). Population models: Stability in one dimension. Bulletin of Mathematical Biology, 69(3), 989–1017. https://doi.org/10.1007/s11538-006-9129-1
   Google Scholar
• Day, R. H. (1982). Irregular growth cycles. American Economic Review, 72, 406–414. https://www.jstor.org/stable/1831540.
   Google Scholar
• El-Morshedy, H. A., & Jiménez López, V. (2008). Global attractors for difference equations dominated by one-dimensional maps. Journal of Difference Equations and Applications, 14(4), 391–410. https://doi.org/10.1080/10236190701671632
   Google Scholar
• Franco, D., Perán, J., & Segura, J. (2018). Global stability of discrete dynamical systems via exponent analysis: Applications to harvesting population models. Electronic Journal of Qualitative Theory of Differential Equations, 2018(1), 1–22. https://doi.org/10.14232/ejqtde.2018.1.101
   Google Scholar
• Franco, D., Perán, J., & Segura, J. (2020). Stability for one-dimensional discrete dynamical systems revisited. Discrete & Continuous Dynamical Systems – B, 25, 635–650. https://doi.org/10.3934/dcdsb.2019258
   Google Scholar
• Gundlach, E., & Paldam, M. (2012). A model of the religious transition. Theoretical Economics Letters. 2(5), 419–422. Article ID: 25535. https://doi.org/10.4236/tel.2012.25077.
   Google Scholar
• Huang, J., Chai, W., & Wei, Y. (2011). The research of e-commerce impact measurement based on Solow model. Humanities & Social Sciences Journal of Hainan University, 5, 019.
   Google Scholar
• Juchem Neto, J. P., & Claeyssen, J. C. R. (2015). Capital-induced labor migration in a spatial Solow model. Journal of Economics, 115(1), 25–47. https://doi.org/10.1007/s00712-014-0404-6
   Google Scholar
• Klump, R., & de La Grandville, O. (2000). Economic growth and the elasticity of substitution: Two theorems and some suggestions. American Economic Review, 90(1), 282–291. https://doi.org/10.1257/aer.90.1.282
   Google Scholar
• Krugman, P. (1991). Increasing returns and economic geography. Journal of Political Economy, 99(3), 483–499. https://doi.org/10.1086/261763
   Google Scholar
• Li, D., & Zhang, C. (2014). On the long time simulation of reaction–diffusion equations with delay. The Scientific World Journal., 2014, Article ID 186802. https://doi.org/10.1155/2014/186802.
   Google Scholar
• Liz, E. (2018). A global picture of the gamma–Ricker map: A flexible discrete-time model with factors of positive and negative density dependence. Bulletin of Mathematical Biology, 80(2), 417–434. https://doi.org/10.1007/s11538-017-0382-2
   Google Scholar
• Liz, E., & Buedo-Fernández, S. (2019). A new formula to get sharp global stability criteria for one-dimensional discrete-time models. Qualitative Theory of Dynamical Systems, 18(3), 813–824. https://doi.org/10.1007/s12346-018-00314-4
   Google Scholar
• Matsumoto, A., & Szidarovszky, F. (2011). Delay differential neoclassical growth model. Journal of Economic Behavior & Organization, 78(3), 272–289. https://doi.org/10.1016/j.jebo.2011.01.014
   Google Scholar
• Matsumoto, A., & Szidarovszky, F. (2013). Asymptotic behavior of a delay differential neoclassical growth model. Sustainability, 5(2), 440–455. https://doi.org/10.3390/su5020440
   Google Scholar
• Matsumoto, A., & Szidarovszky, F. (2021). Delay Solow model with a CES production function. Discussion Paper 340. Institute of Economic Research, Chou University. http://id.nii.ac.jp/1648/00012797/
   Google Scholar
• Piras, R. (2013). Can the augmented Solow model with migration explain the Italian internal brain drain? Labour (Committee on Canadian Labour History), 27(2), 140–163. https://doi.org/10.1111/labr.12003
   Google Scholar
• Quinn, T. J., & Deriso, R. B. (1999). Quantitative fish dynamics. Oxford University Press.
   Google Scholar
• Romer, D. (2012). Advanced macroeconomics (4th ed). McGraw-Hill/Irwin.
   Google Scholar
• Singer, D. (1978). Stable orbits and bifurcation of maps of the interval. SIAM Journal on Applied Mathematics, 35(2), 260–267. https://doi.org/10.1137/0135020
   Google Scholar
• Solow, R. M. (1956). A contribution to the theory of economic growth. The Quarterly Journal of Economics, 70(1), 65–94. https://doi.org/10.2307/1884513
   Google Scholar
• Stokey, N. L. (1998). Are there limits to growth? International Economic Review, 39(1), 1–31. https://doi.org/10.2307/2527228
   Google Scholar
• Swan, T. W. (1956). Economic growth and capital accumulation. Economic Record, 32(2), 334–361. https://doi.org/10.1111/j.1475-4932.1956.tb00434.x
   Google Scholar
• Yi, T., & Zou, X. (2010). Map dynamics versus dynamics of associated delay reaction–diffusion equations with a Neumann condition. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466(2122), 2955–2973. https://doi.org/10.1098/rspa.2009.0650
   Google Scholar
• Zhong, Y., & Huang, W. (2018). Spatial dynamics for a generalized Solow growth model. Discrete Dynamics in Nature and Society., 2018, Article ID 6945032. https://doi.org/10.1155/2018/6945032.
   Google Scholar