Dynamically optimal strategy to manage resistance to genetically modified (GM) crops

Abstract

This paper uses a simple model of evolution of pest population and pest resistance to characterize the socially optimal refuge strategy to manage pest’s resistance to genetically modified (GM) crops. The technical part of this paper extends previous theoretical economic analyses of treatment by addressing the optimal path to the equilibrium. In this study, we not only show, using detailed theoretical analyses of the characteristics of the steady state, but also analytically and numerically results characterizing the optimal control paths that lead to the final equilibria. We also study the initial circumstances under which a synthesized interventionist control is optimal and the initial circumstances under which an ecological control (zero control) is optimal.