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Optimal control and long-run dynamics for a spatial economic growth model with physical capital accumulation and pollution diffusion
Authors:Sebastian Ani?a  Vincenzo Capasso  Herb Kunze  Davide La Torre
Institution:1. Faculty of Mathematics, “Al.I. Cuza” University of Ia?i, Ia?i, Romania;2. “Octav Mayer” Institute of Mathematics, Ia?i, Romania;3. University of Milan, Department of Mathematics, Milan, Italy;4. University of Guelph, Department of Mathematics and Statistics, Guelph, Ontario, Canada;5. University of Milan, Department of Economics, Management and Quantitative Methods, Milan, Italy
Abstract:In this work we analyze the large-time behavior of a spatially structured economic growth model coupling physical capital accumulation and pollution diffusion. This model extends other results in the literature along different directions. Alongside the classical Cobb–Douglas production function, a convex–concave production function is considered. We add a negative feedback to the production function in order to describe the (negative) influence of pollution on output, and therefore on capital accumulation. We also present an optimal control problem for the above model.
Keywords:Reaction–diffusion systems  Integral nonlocal term  Large-time behavior  Control problems  Economic growth  Environmental quality  Non-concave production function
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