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SUMMARY:Bifurcation problems for structured population dynamics models - M
 agal\, P (Bordeaux)
DTSTART:20101122T110000Z
DTEND:20101122T115000Z
UID:TALK28080@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This presentation is devoted to bifurcation problems for some 
 classes of PDE arising in the context of population dynamics. The main dif
 ficulty in such a context is to understand the dynamical properties of a P
 DE with non-linear and non-local boundary conditions.\n\nA typical class o
 f examples is the so called age structured models. Age structured models h
 ave been well understood in terms of existence\, uniqueness\, and stabilit
 y of equilibria since the 80's. Nevertheless\, up to recently\, the bifurc
 ation properties of the semiflow generated by such a system has been only 
 poorly understood.\n\nIn this presentation\, we will start with some resul
 ts about existence and smoothness of the center mainfold\, and we will pre
 sent some general Hopf bifurcation results applying to age structured mode
 ls. Then we will turn to normal theory in such a context. The point here i
 s to obtain formula to compute the first order terms of the Taylor expansi
 on of the reduced system. \n\n
LOCATION:Seminar Room 1\, Newton Institute
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