Optimal control and long-run dynamics for a spatial economic growth model with physical capital accumulation and pollution diffusion

被引：23

作者：

Anita, Sebastian ^{[1
,2
]}

Capasso, Vincenzo ^{[3
]}

Kunze, Herb ^{[4
]}

La Torre, Davide ^{[5
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi, Romania

[2] Octav Mayer Inst Math, Iasi, Romania

[3] Univ Milan, Dept Math, Milan, Italy

[4] Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada

[5] Univ Milan, Dept Econ Management & Quantitat Methods, Milan, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 08期

关键词：

Reaction-diffusion systems; Integral nonlocal term; Large-time behavior; Control problems; Economic growth; Environmental quality; Non-concave production function; GEOGRAPHY;

D O I：

10.1016/j.aml.2013.04.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：908 / 912

页数：5

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