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UID:1827@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170620T110000
DTEND;TZID=Europe/Paris:20170620T120000
DTSTAMP:20170605T090000Z
URL:https://www.i2m.univ-amu.fr/evenements/studying-the-spread-of-evolving
 -diseases-traveling-waves-and-pulsating-fronts/
SUMMARY: (...): Studying the spread of evolving diseases : traveling waves 
 and pulsating fronts.
DESCRIPTION:: I will talk about a system of two coupled reaction-diffusion 
 equations modeling the spread of evolving diseases. In this scenario\, a p
 athogen propagates within a population of susceptible hosts while a fast m
 utation process allows its phenotype to change in the same time scale as t
 he invasion process. I will consider a special case where only two phenoty
 pes exists\, leading to a system of two coupled KPP-type equations.I will 
 first talk about the case of a homogeneous space\, where the reaction coef
 ficients do not depend on the space variable\, and present a construction 
 of traveling waves that allow us to characterize the propagation. Then\, I
  will investigate the case of a periodically heterogeneous space\, and sho
 w how we constructed pulsating fronts in this situation. In both cases\, t
 here is competition between the two pathogens\, which we treated as a non-
 local term\; in particular\, we are not in a situation where a comparison 
 principle is available\, which is a challenging mathematical problem.  htt
 p://www.math.univ-montp2.fr/~griette/
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20170326T030000
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