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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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A perturbation theorem with applications to a model of the diffusive chemostat
by
Paul Waltman
Emory University

An abstract perturbation theorem in the context of dynamical systems is presented. The nature of the theorem is that it preserves the existence of a globally stable rest point. This theorem is then applied to a model of growth in the chemostat with different diffusion rates. The difficulty in the application is the presence of rest points on the boundary. To apply the theorem in this case, it is necessary to obtain uniform persistence results as well as limiting estimates on the norm.

Date received: April 17, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-71.