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On the stability of differential-difference equations

Published online by Cambridge University Press:  17 February 2009

R. D. Braddock  and
P. Van Den Driessche
R. D. Braddock
Affiliation:
Department of Mathematics, University of Queensland, St Lucia, Australia.
P. Van Den Driessche
Affiliation:
Department of Mathematics, University of Victoria, British Columbia, Canada.
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Abstract

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The local properties of non-linear differential-difference equations are investigated by considering the location of the roots of the eigen-equation derived from the lineraised approximation of the original model. A general linear system incorporating one time delay is considered and local stability results are obtained for cases in which the coefficient matrices satisfy certain assumptions. The results have applications to recent Biological and Economic models incorporating time lags.

Type
Research Article
Information
The ANZIAM Journal , Volume 19 , Issue 3 , June 1976 , pp. 358 - 370
Copyright
Copyright © Australian Mathematical Society 1976

References

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