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 aim of this book is to provide an introduction to the mathematical theory of infinite dimensional
dynamical systems by focusing on a relatively simple, yet rich, class of examples, that …

Physiological processes within individuals and behaviour patterns displayed by individuals
rank high among the subject matters of biology. The catch, handling and digestion of a prey …

Mathematical modeling is critical to our understanding of how infectious diseases spread at
the individual and population levels. This book gives readers the necessary skills to correctly …

The aim of these notes is to illustrate, largely by way of examples, how standard ecological
models can be put into an evolutionary perspective in order to gain insight in the role of …

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 …

We study the large-time behaviour of the solution of a nonlinear integral equation of mixed
Volterra-Fredholm type describing the spatio-temporal development of an epidemic. For this …

Our starting point is a selection–mutation equation describing the adaptive dynamics of a
quantitative trait under the influence of an ecological feedback loop. Based on the assumption …

We demonstrate the direct involvement of increased collagenase activity in the cleavage of
type II collagen in osteoarthritic human femoral condylar cartilage by developing and using …