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TZID:Europe/Paris
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UID:8509@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250311T143000
DTEND;TZID=Europe/Paris:20250311T153000
DTSTAMP:20250304T113306Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-187/
SUMMARY:Apolline LOUVET (INRAE Avignon): Stochastic modelling of population
  dynamics in a spatial continuum and application to epidemiology
DESCRIPTION:Apolline LOUVET: Spatial Lambda-Fleming-Viot processes\, or SLF
 Vs\, are a family of stochastic processes that have been developed to over
 come some issues arising when defining stochastic population dynamics mode
 ls in a spatial continuum of arbitrary dimension. Their main characteristi
 c is their "reproduction event-driven" dynamics that controls local reprod
 uction rates and ensures the existence of a dual process\, which is a key 
 tool to the analysis of SLFV processes. In this talk\, after giving an ove
 rview of this modelling framework\, I will present a recent extension to t
 he modelling of epidemics\, giving rise to a stochastic SIS-type model in 
 continuous space. I will show to what extent the central concept of basic 
 reproduction number can be extended to this model\, using the duality rela
 tion along with the characterization of the process as the unique solution
  to a martingale problem.\nBased on a joint work with Bastian Wiederhold (
 LMU).
CATEGORIES:Séminaire,Probabilités
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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TZID:Europe/Paris
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DTSTART:20241027T020000
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