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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Bifurcation problems for structured population dyn
amics models - Magal\, P (Bordeaux)
DTSTART;TZID=Europe/London:20101122T110000
DTEND;TZID=Europe/London:20101122T115000
UID:TALK28080AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/28080
DESCRIPTION:This presentation is devoted to bifurcation proble
ms for some classes of PDE arising in the context
of population dynamics. The main difficulty in suc
h a context is to understand the dynamical propert
ies of a PDE with non-linear and non-local boundar
y conditions.\n\nA typical class of examples is th
e so called age structured models. Age structured
models have been well understood in terms of exist
ence\, uniqueness\, and stability of equilibria si
nce the 80's. Nevertheless\, up to recently\, the
bifurcation properties of the semiflow generated b
y such a system has been only poorly understood.\n
\nIn this presentation\, we will start with some r
esults about existence and smoothness of the cente
r mainfold\, and we will present some general Hopf
bifurcation results applying to age structured mo
dels. Then we will turn to normal theory in such a
context. The point here is to obtain formula to c
ompute the first order terms of the Taylor expansi
on of the reduced system. \n\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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