Global attractivity in delay Lotka-Volterra differential equations
by
Istvan Gyori
Department of Mathematics and Computing, University of Veszprem, P.O. Box 158, 8201 Veszprem, Hungary

In this talk some new global attractivity results are given for scalar Lotka-Volterra differential equations with delays. The most interesting part of our results is the case when the negative feedback term with small delay helps to stabilize the equation. Our approach is related to the method based on monotone semiflow theory, but in some nonautonomous cases, it gives more general results. Some examples and related open problems are also raised up.

Date received: March 4, 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 # caky-19.