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BEGIN:VEVENT
DTSTAMP:20260628T011246Z
DTSTART;VALUE=DATE-TIME:20071127T150000
DTEND;VALUE=DATE-TIME:20071127T170000
SUMMARY:Complexity Forum: Mauro Mobilia (ÌÇÐÄTV Mathematics)
TZID:Europe/London
UID:20071127-094d43d5385c299a01386c3bd89264ac@warwick.ac.uk
CREATED:20071116T210537Z
DESCRIPTION:Title: Rock-paper-scissors games and biodiversity in microbia
 l communities with non-hierarchical interactions Abstract: Understanding
  the mechanisms allowing the maintenance of biodiversity is a central is
 sue in theoretical biology and ecology. Evolutionary game theory\, where
  the success of one species depends on what the others are doing\, provi
 des a promising framework to theoretically investigate co-evolving popul
 ations. Recent experiments on microbial populations have shown that the 
 existence of local and cyclic interactions promotes the long-term coexis
 tence of all species and the formation of spatial patterns. In this cont
 ext\, rock-paper-scissors games - in which rock crushes scissors\, sciss
 ors cut paper\, and paper wraps rock - have emerged as a fruitful metaph
 or for non-hierarchical co-evolutionary dynamics. In this forum\, I shal
 l discuss stochastic evolutionary models where three species cyclically 
 dominate each other according to "rock-paper-scissors" interactions. In 
 the first part of the talk I will give an overview of the biological mot
 ivation for some microbial communities and of the classic mathematical m
 odelling in the absence of spatial structure [Phys. Rev. E 74\, 051907 (
 2006)]. The second part of the forum will address the influence of spati
 al degrees of freedom and internal noise on the population's coexistence
  using an interacting particle approach. In particular\, I will report o
 n our recent findings [Nature 448\, 1046 (2007)] about the subtle interp
 lay between the individuals' mobility and local interactions\, which lea
 ds to the loss of biodiversity above a certain mobility threshold. Below
  that critical value\, all species coexist and form fascinating moving p
 atterns of entangled spirals. We have also investigated those kaleidosco
 pic spatio-temporal structures and have elucidated that they stem from a
 n interplay between the deterministic dynamics and internal noise [arXiv
 :0710.0383.v1]. I will illustrate how the theory of front propagation an
 d the properties of the complex Ginzburg-Landau equation allow to derive
  analytical expressions for the velocity and the wavelength of the rotat
 ing spiral waves. The theoretical methods described in this talk can be 
 broadly applied\, e.g. to behavioural sciences\, epidemic outbreaks\, or
  in chemical reactions\, as it will be briefly sketched.
LOCATION:Maths B1.01
CATEGORIES:forum
LAST-MODIFIED:20120709T145406Z
ORGANIZER;CN=Colm Connaughton:
END:VEVENT
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