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Mathematical Tools for Understanding Infectious Disease Dynamics$
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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

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Spatial spread

Spatial spread

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

Odo Diekmann

Hans Heesterbeek

Tom Britton

Princeton University Press

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

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