# American Institute of Mathematical Sciences

2011, 2011(Special): 727-736. doi: 10.3934/proc.2011.2011.727

## Global asymptotic stability in a class of nonlinear differential delay equations

 1 Department of Mathematics, Pennsylvania State University, P.O. Box PSU, Lehman, PA 18627, United States 2 Graduate School of Information Technology and Mathematical Sciences, University of Ballarat, Mt. Helen Campus, PO Box 663, Ballarat, Victoria 3353, Australia

Received  August 2010 Revised  January 2011 Published  October 2011

An essentially nonlinear di erential equation with delay serving as a mathematical model of several applied problems is considered. Sufficient conditions for the global asymptotic stability of a unique equilibrium are derived. An application to a physiological model by M.C. Mackey is treated in detail.
Citation: Anatoli F. Ivanov, Musa A. Mammadov. Global asymptotic stability in a class of nonlinear differential delay equations. Conference Publications, 2011, 2011 (Special) : 727-736. doi: 10.3934/proc.2011.2011.727
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