We use a stochastic branching process to describe the beginning of a disease outbreak. Unlike compartmental models, if the basic reproduction number is greater than one there may be a minor outbreak or a major epidemic with a probability depending on the nature of the contact network. We use a network approach to determine the distribution of outbreak and epidemic sizes.
|Original language||English (US)|
|Title of host publication||Mathematical Epidemiology|
|Number of pages||14|
|State||Published - Jan 1 2008|
|Name||Lecture Notes in Mathematics|
ASJC Scopus subject areas
- Algebra and Number Theory