Stabilization of an uncertain competing species system

Many real world problems concerning the management of natural renewable resources are appropriately modeled and formulated as stabilization problems of uncertain dynamical systems subject to control constraints. Based on the recent results of Corless and Leitmann [1] on the design of bounded controllers for a class of nonlinear uncertain systems that assure robust exponential convergence to a neighborhood of the origin, a componentwise bounded harvest strategy is proposed for the management of an ecological system of two competing species at some desired prescribed level in the presence of bounded system and input uncertainties.