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UID:712@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150421T110000
DTEND;TZID=Europe/Paris:20150421T120000
DTSTAMP:20150406T090000Z
URL:https://www.i2m.univ-amu.fr/evenements/birth-jump-processes-and-applic
 ation-to-forest-fire-spotting/
SUMMARY: (...): Birth-jump processes and application to forest fire spottin
 g
DESCRIPTION:: Birth-jump models are designed to describe population models 
 for which growth and spatial spread cannot be decoupled. A birth-jump mode
 l is a particular type of nonlinear integro-differential equation (system)
 .In the case where the redistribution kernels are highly concentrated\, we
  show that the integro-differential equation can be approximated by a reac
 tion–diffusion equation\, in which the proliferation rate contributes to
  both the diffusion term and the reaction term. We completely solve the co
 rresponding critical domain size problem and the minimal wave speed proble
 m. Birth-jump models can be applied in many areas in mathematical biology.
  We highlight an application of our results in the context of nonlocal for
 est fire spread through spotting. We also emphasize several open problems\
 , both pure and applied\, associated with the birth-jump models.Webpage
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20150329T030000
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