Epidemic progression on networks based on disease generation time

Bahman Davoudi, Flavia Moser, Fred Brauer, Babak Pourbohloul

Research output: Contribution to journalArticle

Abstract

We investigate the time evolution of disease spread on a network and present an analytical framework using the concept of disease generation time. Assuming a susceptible–infected–recovered epidemic process, this network-based framework enables us to calculate in detail the number of links (edges) within the network that are capable of producing new infectious nodes (individuals), the number of links that are not transmitting the infection further (non-transmitting links), as well as the number of contacts that individuals have with their neighbours (also known as degree distribution) within each epidemiological class, for each generation period. Using several examples, we demonstrate very good agreement between our analytical calculations and the results of computer simulations.

Original languageEnglish (US)
Pages (from-to)148-160
Number of pages13
JournalJournal of biological dynamics
Volume7
Issue number1
DOIs
StatePublished - 2013

Keywords

  • Epidemiology
  • Population dynamics

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

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