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SUMMARY:Competitive displacement in the grass-bushes-trees process on a sc
 ale-free network
DTSTART:20261112T130000Z
DTEND:20261112T140000Z
DTSTAMP:20261112T051100Z
UID:indico-event-17139@indico.math.cnrs.fr
DESCRIPTION:Speakers: Daniel Valesin\n\nThe grass-bushes-trees process is 
 a two-type contact process in which the types face asymmetric birth mechan
 isms. Vertices of a graph can either be occupied by a tree\, occupied by a
  bush\, or empty (containing grass). The trees die with rate 1 and give bi
 rth with rate \\lambda_T on any neighbouring vertex (possibly taking the p
 lace of a bush). Bushes die with rate 1 and give birth with rate \\lambda_
 B on any empty neighbouring vertex\; in particular\, they are forbidden fr
 om taking the place of trees. We study this process on a power law random 
 graph\, namely the erased configuration model. We study which graph parame
 ters lead to the possibility of coexistence versus the necessity of compet
 itive displacement\, i.e. joint metastability or fast extinction of the bu
 shes. Joint work with John Fernley (Warwick). \n\nhttps://indico.math.cnr
 s.fr/event/17139/
LOCATION:Fokko du Cloux (Lyon 1)
URL:https://indico.math.cnrs.fr/event/17139/
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