Intensive and extensive exploitation of nature: Possibilities for mathematical modeling

Abstract

Thomas R. Malthus' model for population growth predicted a future of widespread famine. On the other hand, Pierre F. Verhulst's model helps us understand why this prediction has not come true. This article proposes the use of both models and the bifurcation diagram obtained from Verhulst’s model as a basis for a proposed mathematical model that helps us to better understand the issue of intensive and extensive exploitation of nature.