Cross-diffusion Modeling in Macroeconomics

نویسندگان

  • Laszlo Balazsi
  • Krisztina Kiss
چکیده

This paper deals with the stability properties of a closed market, where capital and labour force are acting like a predator–prey system in population–dynamics. The spatial movement of the capital and labour force are taken into account by cross–diffusion effect. First, we are showing two possible ways for modeling this system in only one country’s market (applying a simple functional response and a Holling-type ratio–dependent response as well), examining the conditions of their stability properties. We extend the ratio–dependent model into two countries common market where two kind of cross–diffusion effects are present, and find those additional conditions, whose are necessary for the stability of the global common market besides the stability of each countries local markets. Our four–dimensional model highlights that a hectic movement of the capital toward labour force can cause a Turing instability.

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تاریخ انتشار 2013