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UID:news548@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190114T100101
DTSTART;TZID=Europe/Zurich:20160407T161500
SUMMARY:Perlen-Kolloquium: Benoit Perthame (Paris 6)
DESCRIPTION:Living  systems  are  characterized  by  variability\;  in  the
   view  of  C.  Darwin\, they are subject to constant evolution through th
 e three processes of population growth\, selection by nutrients limitation
  and mutations. Several mathematical theories have been proposed in order 
 to describe the dynamics generated by the interaction between their enviro
 nment and the trait selection of the ‘fittest’. One can use stochastic
  individual  based  models\,  dynamical  systems\,  game  theory  consider
 ing  traits  as  strategies.  From  a populational point of view\, the pop
 ulation obeys an integro-partial-differential equation for the density num
 ber. We  will  give  a  self-contained  mathematical  model  of  such  dyn
 amics  and  show  that  an  asymptotic method  allows  us  to  formalize  
 precisely  the  concepts  of  monomorphic  or  polymorphic  population. Th
 en\,  we  can  describe  the  evolution  of  the  ‘fittest  trait’  an
 d  eventually  compute  various  forms  of branching points which represen
 t the cohabitation of two different populations. Recent developments conce
 rn non-proliferative advantages and lead to define the notion of ‘effect
 ivefitness’. The content of the colloquium is based on collaborations wi
 th G. Barles\, O. Diekmann\, M. Gauduchon\,S. Genieys\, P.-E. Jabin\, A. L
 orz\, S. Mirahimmi\, S. Mischler and P. E. Souganidis.
X-ALT-DESC: Living  systems  are  characterized  by  variability\;  in  the
   view  of  C.  Darwin\, they are subject to constant evolution through th
 e three processes of population growth\, selection by nutrients limitation
  and mutations. Several mathematical theories have been proposed in order 
 to describe the dynamics generated by the interaction between their enviro
 nment and the trait selection of the ‘fittest’. One can use stochastic
  individual  based  models\,  dynamical  systems\,  game  theory  consider
 ing  traits  as  strategies.  From  a populational point of view\, the pop
 ulation obeys an integro-partial-differential equation for the density num
 ber. We  will  give  a  self-contained  mathematical  model  of  such  dyn
 amics  and  show  that  an  asymptotic method  allows  us  to  formalize  
 precisely  the  concepts  of  monomorphic  or  polymorphic  population. Th
 en\,  we  can  describe  the  evolution  of  the  ‘fittest  trait’  an
 d  eventually  compute  various  forms  of branching points which represen
 t the cohabitation of two different populations. Recent developments conce
 rn non-proliferative advantages and lead to define the notion of ‘effect
 ivefitness’. The content of the colloquium is based on collaborations wi
 th G. Barles\, O. Diekmann\, M. Gauduchon\,S. Genieys\, P.-E. Jabin\, A. L
 orz\, S. Mirahimmi\, S. Mischler and P. E. Souganidis.
DTEND;TZID=Europe/Zurich:20160407T171500
END:VEVENT
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