Historically, infectious diseases caused considerable damage to human societies, and they
continue to do so today. To help reduce their impact, mathematical models of disease …

The basic reproductive ratio, R 0, is defined as the expected number of secondary infections
arising from a single individual during his or her entire infectious period, in a population of …

The goal of this book is to interest students of mathematics and public health professionals
in the modeling of infectious diseases transmission. We believe that some knowledge of …

We describe the structure and use of epidemiology models of disease transmission, with an
emphasis on the susceptible/infected/recovered (SIR) model. We discuss high-profile …

This paper is concerned with the optimal influenza vaccine distribution in a heterogeneous
population consisting of multiple subgroups. We employ a compartmental model for …

Metapopulation is the ecological term for assemblages of plant and animal species within
larger areas of space, with long-term survival of the species depending on a shifting balance …

Two systematic methods are presented to guide the construction of Lyapunov functions for
general infectious disease models and are thus applicable to establish their global …

In the late stages of an epidemic, infections are often sporadic and geographically
distributed. Spatially structured stochastic models can capture these important features of …

The story of this edition is a testament to an almost legendary gure in theoretical ecology
and to the in uence his work and charisma has had on the eld. It is also a story that can only …

The rapid closure of the Venus flytrap (Dionaea muscipula) leaf in about 100 ms is one of
the fastest movements in the plant kingdom. This led Darwin to describe the plant as “one of …