Jump to ContentJump to Main Navigation
Mathematical Tools for Understanding Infectious Disease Dynamics$
Users without a subscription are not able to see the full content.

Odo Diekmann, Hans Heesterbeek, and Tom Britton

Print publication date: 2012

Print ISBN-13: 9780691155395

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691155395.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in HSO for personal use (for details see www.princeton.universitypressscholarship.com/page/privacy-policy).date: 18 October 2018

Spatial spread

Spatial spread

Chapter:
(p.239) Chapter Ten Spatial spread
Source:
Mathematical Tools for Understanding Infectious Disease Dynamics
Author(s):

Odo Diekmann

Hans Heesterbeek

Tom Britton

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691155395.003.0010

This chapter concentrates on the asymptotic speed of propagation c₀ as an important indicator of the spread at the population level in a spatially structured population. Within the context of idealized models, it unambiguously defined the (asymptotic) speed c₀ of the spatial propagation of an infection, and characterized c₀ in terms of the basic model ingredients in such a way that the computation of c₀ from the ingredients is rather simple. Thus, we added one more indicator of the infectiousness of an agent to the list (consisting so far of R₀, r, the probability of a major outbreak, the size of a major outbreak, and the endemic level). For many ecological or agricultural systems, this is actually the most relevant indicator.

Keywords:   infectious disease, propagation speed, population models, asymptotic speed

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.