A useful relationship between epidemiology and queueing theory: the distribution of the number of infectives at the moment of the first detection.

@article{Trapman2009AUR,
  title={A useful relationship between epidemiology and queueing theory: the distribution of the number of infectives at the moment of the first detection.},
  author={Pieter Trapman and Martinus Christoffel Jozef Bootsma},
  journal={Mathematical biosciences},
  year={2009},
  volume={219 1},
  pages={15-22}
}
In this paper we establish a relation between the spread of infectious diseases and the dynamics of so called M/G/1 queues with processor sharing. The relation between the spread of epidemics and branching processes, which is well known in epidemiology, and the relation between M/G/1 queues and birth death processes, which is well known in queueing theory, will be combined to provide a framework in which results from queueing theory can be used in epidemiology and vice versa. In particular, we… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 14 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Strong approximations for epidemic models

  • F. G. Ball, P. Donnelly
  • Stoch. Proc. Appl. 55
  • 1995
Highly Influential
5 Excerpts

Processes with catastrophes

  • D. R. Stirzaker
  • Math. Sci. 31
  • 2006
1 Excerpt

Mathematical Epidemiology of Infectious Diseases: Model Building

  • O. Diekmann, J.A.P. Heesterbeek
  • Analysis and Interpretation, Wiley, Chichester
  • 2000
2 Excerpts

Stochastic epidemic models and their statistical analysis

  • H. Andersson, T. Britton
  • Springer Lecture Notes in Statistics, vol. 151…
  • 2000
2 Excerpts

Probability and Random Processes

  • G. R. Grimmett, D. R. Stirzaker
  • second ed., Oxford University, New York
  • 1992
2 Excerpts

Similar Papers

Loading similar papers…