Highly Influenced

# 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} }

- Published 2009 in Mathematical biosciences
DOI:10.1016/j.mbs.2009.02.001

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