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The model presented in this paper studies the presence of closed orbits that signal economic fluctuations and periodic solutions around the steady state. The problem is to understand the mechanism that leads to an indeterminate equilibrium in presence of natural resource use, and therefore suggest the emergence of a poverty-environment trap.doaj:d547c757f33c41c38d06d3f16b47b35a fatcat:oxyefmjtbrgfbez6fqygu5ambq