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DESCRIPTION:Polly Yu\, Harvard University\n\nSome chemical and biological m
odels use a system of delay differential equations (DDEs) instead of the us
ual ODEs\, with the assumption of instantaneous consumption but delayed pro
duction. Stability of DDEs can be determined by solutions to a transcendent
al equation (similar to locating the roots of the characteristic equations
in the case of ODEs). In this talk\, I will motivate and introduce delay mo
dels for chemical systems\, and provide a sufficient algebraic condition th
at guarantees its delay stability independent of parameters (i.e.\, absolut
e delay stability). In particular\, this condition also implies asymptotic
stability when there is no delay in the system. Time permitting\, I will in
troduce a graph-theoretic condition for absolute delay stability that in ce
rtain cases is easier to check. This is joint work with Gheorghe Craciun\,
Maya Mincheva\, Casian Pantea.
DTEND:20230321T210000Z
DTSTAMP:20230529T090937Z
DTSTART:20230321T200000Z
GEO:42.378796;-71.117354
LOCATION:Maxwell Dworkin Laboratory\, G125
SEQUENCE:0
SUMMARY:Conditions for Absolute Delay Stability
UID:tag:localist.com\,2008:EventInstance_42435165329588
URL:https://calendar.college.harvard.edu/event/conditions_for_absolute_dela
y_stability
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