Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10153754 | Mathematical Social Sciences | 2018 | 11 Pages |
Abstract
In the short run, the two steady states can collide and disappear through a saddle-node bifurcation. Since consumption and natural resource are substitutable goods, a limit cycle can arise around the higher stationary state. To the contrary, this kind of cycles never occurs around the lower steady state, no matter the resource effect on consumption. Finally, focusing on the variety of bifurcations of codimension two, we find a Bogdanov-Takens loop.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stefano Bosi, David Desmarchelier,