  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.
