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SUMMARY:Rahul Roy (Indian Statistical Institute\, Delhi)
DTSTART:20201007T090000Z
DTEND:20201007T104500Z
DTSTAMP:20260404T132232Z
UID:BPS/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/BPS/6
 /">On models of evolution of species</a>\nby Rahul Roy (Indian Statistical
  Institute\, Delhi) as part of Bangalore Probability Seminar\n\n\nAbstract
 \nThis talk has two parts. In the first part we discuss the Bak-Sneppen an
 d the\nGuiol-Machado-Schinazi (GMS) models of evolution.\n\nIn the second 
 part of the talk we study the variation of the GMS model introduced by Ben
 -Ari and Schinazi (2016). This model is a birth and death model with an in
 dividual at birth being either a mutant with a random fitness parameter in
  [0\, 1] or having one of the existing fitness parameters with uniform pro
 bability\; whereas a death event removes the entire population of the leas
 t fit site. We change this to incorporate the notion of ‘survival of the
  fittest’\, by requiring that a non-mutant individual\, at birth\, has a
  fitness according to a preferential attachment mechanism\, i.e.\, it has 
 a fitness f with a probability proportional to the size of the population 
 of fitness f. Also death just removes one individual at the least fit site
 . This preferential attachment rule leads to a power law behaviour in the 
 asymptotics\, unlike the exponential behaviour obtained by Ben-Ari and Sch
 inazi (2016).\n
LOCATION:https://stable.researchseminars.org/talk/BPS/6/
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