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Fourth International Conference on Dynamic Systems and Applications
May 21-24, 2003
Department of Mathematics, Morehouse College
Atlanta, GA, USA

Organizers
M. Sambandham

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Coexistence in a Discrete, Size-Structured Chemostate Model with an Inhibitor
by
Sophia Jang
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504-1010

A size-structured chemostat model of two competing populations with an external inhibitor in discrete time is derived and analyzed. It is shown that both populations can coexist with each other when the net reproductive numbers of both populations near the boundary steady states are greater than one. In this case, the system also possesses a unique coexisting equilibrium.

Date received: February 19, 2003


Copyright © 2003 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 # cakr-35.