Pieter Trapman


 
 
dr J.P. Trapman,
Postal address:
Department of Mathematics,
Stockholm University,
106 91 Stockholm, Sweden.
Visiting address:
Room 311
Kraftriket (building 6),
Tel +46(0)8 16 4574
e-mail:nospam@math.su.se
replace nospam by ptrapman.
 
 

Research interests:

  • Stochastic modeling of infectious diseases
  • Branching processes
  • Random graphs
  • Percolation theory


     
    Publications:

  • P. Trapman, R. Meester and J.A.P. Heesterbeek (2004), A branching model for the spread of infectious animal diseases in varying environments, Journal of Mathematical Biology 49(6), 553-576.
  • R. Meester and P. Trapman (2006), Estimation in branching processes with restricted observations, Advances in Applied Probability 38(4), 1098-1115.
  • P. Trapman (2007), On analytical approaches to epidemics on networks, Theoretical Population Biology 71(2), 160-173.
  • P. Trapman (2008), Reproduction numbers for epidemics on networks using pair approximations, Mathematical Biosciences 210(2), 464-489.
  • S. Davis, P. Trapman, H. Leirs, M. Begon and J.A.P. Heesterbeek (2008), The abundance threshold for plague as a critical percolation phenomenon, Nature 454, 634-637.
  • P. Trapman and M.C.J. Bootsma (2009), A useful relationship between epidemiology and queueing theory: The distribution of the number of infectives at the moment of the first detection, Mathematical Biosciences 219(1), 15-22.
  • F. Ball, D. Sirl and P. Trapman (2009), Threshold behaviour and final outcome of an epidemic on a random network with household structure, Advances in Applied Probability 41(3) 765-796.
  • F. Ball, D. Sirl and P. Trapman (2010),Analysis of a Stochastic SIR epidemic on a random network incorporating household structure, Mathematical Biosciences 224(2), 53-73.
  • P. Trapman (2010), The growth of the infinite long-range percolation cluster, Annals of Probability 38(4), 1583-1608.
  • M.C.J. Bootsma, M.W.M. Wassenberg, P. Trapman and M.J.M. Bonten (2011), The nosocomial transmission rate of Animal-associated ST398 Methicillin-resistant Staphylococcus aureus, Journal of the Royal Society Interface 8, 578-584.
  • R. Meester and P. Trapman (2011), Bounding basic characteristics of spatial epidemics with a new percolation model, Advances in Applied Probability 43(2), 335-347.
  • L. Pellis, F. Ball and P. Trapman (2012), Reproduction numbers for epidemic models with households and other social structures I: definition and calculation of R0, Mathematical Biosciences 235(1), 85-97.
  • V. Koval, R. Meester and P. Trapman (2012), Long-range percolation on the hierarchical lattice, Electronic Journal of Probability 17, Article 57.
  • T. Britton and P. Trapman (2012), Maximizing the size of the giant, To appear in Journal of Applied Probability 49(4).
  • A. Lambert and P. Trapman (2012), Splitting trees stopped when the first clock rings and Vervaat's transformation, arXiv preprint To appear in Journal of/Advances in Applied Probability
  • My PhD thesis On stochastic models for the spread of infections .


     
    Preprints:

  • F.Ball, D. Sirl and P. Trapman, Epidemics on random intersection graphs, arXiv preprint
  • T. Britton and P. Trapman, Inferring global network properties from egocentric data with applications to epidemics, arXiv preprint