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SUMMARY:Phase transition in a non-Markovian animal exploration model with 
 preferential returns - Ohad Vilk (Hebrew University of Jerusalem)
DTSTART:20230912T123000Z
DTEND:20230912T131500Z
UID:TALK203362@talks.cam.ac.uk
DESCRIPTION:We study a non-Markovian and nonstationary model of animal mob
 ility incorporating both exploration and memory in the form of preferentia
 l returns. Exact results for the probability of visiting a given number of
  sites are derived and a practical WKB approximation to treat the nonstati
 onary problem is developed. A&nbsp\;mean-field version of this model\, fir
 st suggested by Song&nbsp\;et&nbsp\;al.\, [Modelling the scaling propertie
 s of human mobility\,&nbsp\;Nat. Phys.&nbsp\;6\, 818 (2010)] was shown to 
 well describe human movement data. We show that our generalized model adeq
 uately describes empirical movement data of Egyptian fruit bats (Rousettus
  aegyptiacus) when accounting for interindividual variation in the populat
 ion. We also study the probability of visiting any site a given number of 
 times and derive a mean-field equation. Our analysis yields a remarkable p
 hase transition occurring at preferential returns which scale linearly wit
 h past visits. Following empirical evidence\, we suggest that this phase t
 ransition reflects a trade-off between extensive and intensive foraging mo
 des.
LOCATION:Seminar Room 1\, Newton Institute
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