A graph-theoretic method for the basic reproduction number in continuous time epidemiological models

DOI10.1007/s00285-008-0240-9zbMath1231.92059OpenAlexW2156031695WikidataQ40403435 ScholiaQ40403435MaRDI QIDQ843320

Tomás de-Camino-Beck, Mark A. Lewis, Pauline van den Driessche

Publication date: 12 October 2009

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-008-0240-9

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of graph theory (05C90) Dynamical systems in biology (37N25) Qualitative theory for ordinary differential equations (34C99) Directed graphs (digraphs), tournaments (05C20)

Related Items (4)

The many guises of \(R_0\) (a didactic note) ⋮ The failure of \(R_{0}\) ⋮ The effect of public health interventions on the spread of influenza among cities ⋮ Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions

Uses Software

• CSparse

Cites Work

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• Modeling spatial spread of West Nile virus and impact of directional dispersal of birds
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• Direct Methods for Sparse Linear Systems
• The Determinant of the Adjacency Matrix of a Graph

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