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Volume 38 - Issue 4 - December 2001

Contents

Page 2 of 2

Short Communications

  • Rigorous lower bounds for the critical infection rate in the diffusive contact process

  • Part of:
  • Aidan Sudbury
  • Published online by Cambridge University Press:
    14 July 2016, pp. 1074-1078

  • The contact process is an interacting particle system which models a spatially restricted infection. In the basic contact process the infection can only spread to an uninfected neighbour, but the diffusive contact process allows an infected individual to move to an uninfected site. If the infection rate is too low, the process will die out. If the individual can move (or diffuse), the disease can spread with a lower infection rate. An idea of the relationship between these rates is obtained by obtaining rigorous lower bounds for the critical infection rate for various values of the diffusion rate. In this paper we also improve the lower bound for the critical infection rate for the basic contact process from 1.539 to 1.5517.

Letters to the Editor

  • On losses in MX/GI/1/n queues

  • Vyacheslav M. Abramov
  • Published online by Cambridge University Press:
    14 July 2016, pp. 1079-1080
    • Article
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  • A note on the GI/M/1 queue with Poisson negative arrivals

  • Won S. Yang, Kyung C. Chae
  • Published online by Cambridge University Press:
    14 July 2016, pp. 1081-1085
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Other

Front matter

  • JPR volume 38 issue 4 Cover and Front matter

  • Published online by Cambridge University Press:
    14 July 2016, pp. f1-f10
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Back matter

  • JPR volume 38 issue 4 Cover and Back matter

  • Published online by Cambridge University Press:
    09 February 2018, pp. b1-b2
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Page 2 of 2