This article was inspired by the predator-prey relationship, a common concept in ecology. Using it as our basis, we present a study on the subject of economic growth linked to the consumption of environmental resources. Various economy-environment development scenarios are examined using the dynamics method and STELLA software. Isomorphisms (i.e. structural similarities) between the two systems allow us to conclude that both growing economic savings and effectiveness, as well as higher outlays for initiatives aimed at offsetting deficiencies and enriching environmental potential, may not reverse the cyclical growth trend of the system examined. While attempting to discuss sustainable development at present, a thorough change in management paradigms should be considered. If an environmental system is acted upon, its life should be sustained.