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SUMMARY:Stability analysis of a mathematical model with distributed delay
DTSTART;VALUE=DATE-TIME:20180709T094500Z
DTEND;VALUE=DATE-TIME:20180709T100000Z
DTSTAMP;VALUE=DATE-TIME:20220121T055222Z
UID:indico-contribution-232@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Zenab Alrikaby ()\nGene expression and genetic regul
atory networks (GRNs) have become important areas of study because they pl
ay an important role in solving issues related to human health such as can
cer diseases. Cancers can be hard to recognise and the best way to improve
their defected is to understand the underlying mechanisms of genetic reg
ulatory dynamics. This means introducing and improving mathematical model
s of GRNs to reflect oscillatory phenomena. In this work\, we propose a l
ac operon model with time delay and nonlinear degradation rate for mRNA an
d investigate the nonlinear dynamical behaviour arising from the model\,
such as stability and Hopf bifurcation of the equilibrium\, by taking the
average delay as the bifurcation parameter. From the dynamical behaviour o
f this system: the equilibrium is stable in the absence of delay or when t
he delay is small\; as time delay increases gradually then the stability c
hanges and Hopf bifurcation happens. Then reverse a Hopf bifurcation to
translate the equilibrium of the system from unstable to stable steady st
ate.\n\nhttps://conferences.maths.unsw.edu.au/event/2/contributions/232/
LOCATION:University of Sydney Holme Building/--The Refectory
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/232/
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