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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:20210228T005616Z
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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