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CATEGORIES:Colloquia / Seminar / Lecture
DESCRIPTION:Some chemical and biological models use a system of delay diffe
rential equations (DDEs) instead of the usual ODEs\, with the assumption of
instantaneous consumption but delayed production. Stability of DDEs can be
determined by solutions to a transcendental equation (similar to locating
the roots of the characteristic equations in the case of ODEs). In this tal
k\, I will motivate and introduce delay models for chemical systems\, and p
rovide a sufficient algebraic condition that guarantees its delay stability
independent of parameters (i.e.\, absolute delay stability). In particular
\, this condition also implies asymptotic stability when there is no delay
in the system. Time permitting\, I will introduce a graph-theoretic conditi
on for absolute delay stability that in certain cases is easier to check. T
his is joint work with Gheorghe Craciun\, Maya Mincheva\, Casian Pantea.
DTEND:20230321T210000Z
DTSTAMP:20240229T090610Z
DTSTART:20230321T200000Z
GEO:42.378796;-71.117354
LOCATION:Maxwell Dworkin\, G125
SEQUENCE:0
SUMMARY:Conditions for Absolute Delay Stability
UID:tag:localist.com\,2008:EventInstance_42430613883154
URL:https://events.seas.harvard.edu/event/conditions_for_absolute_delay_sta
bility
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