Mathematical Epidemiology of Infectious Diseases Model Building, Analysis and Interpretation
O. Diekmann University of Utrecht, The Netherlands JAP Heesterbeek Centre for …

The basic reproduction number ℛ 0 is arguably the most important quantity in infectious
disease epidemiology. The next-generation matrix (NGM) is the natural basis for the definition …

The expected number of secondary cases produced by a typical infected individual during
its entire period of infectiousness in a completely susceptible population is mathematically …

In this paper I present the genesis of R 0 in demography, ecology and epidemiology, from
embryo to its current adult form. I argue on why it has taken so long for the concept to mature in …

The seminal paper by Daniel Bernoulli published in 1766 is put into a new perspective. After
a short account of smallpox inoculation and of Bernoulli’s life, the motivation for that paper …

In epidemiology R 0 denotes the average number of secondary cases of an infectious
disease that one case would generate in a completely susceptible population. This concept is …

We propose a new threshold quantity for the analysis of the epidemiology of infectious
diseases. The quantity is similar in concept to the familiar basic reproduction ratio, R 0 , but it …

Understanding how complex food webs assemble through time is fundamental both for
ecological theory and for the development of sustainable strategies of ecosystem conservation …

Identification of the relative importance of within- and between-host variability in infectiousness
and the impact of these heterogeneities on the transmission dynamics of infectious …

A ubiquitous quantity in epidemic modelling is the basic reproduction number R 0 . This
became so popular in the 1990s that ‘All you need know is R 0 !’ became a familiar catch-phrase…