Editors' Introduction

The goal of this volume is to show how to use mathematical tools to understand the evolution of infectious diseases. Inspiration for this project comes from work of the DIMACS Working Group on Genetics and Evolution of Pathogens, which is organized under the auspices of DIMACS' Special Focus on Computational and Mathematical Epidemiology.

This volume is divided into two sections: Model Infrastructure and Applications to Specific Diseases. Section I discusses the impact on disease evolution of various factors, including spatial structure, transient dynamics, coupling of within-host and between-host dynamics, heterogeneity in host populations, and drug resistance. Section II is concerned with investigations associated with specific infectious diseases such as rhinovirus, HIV/AIDS, tuberculosis, and malaria.

We thank Bruce Levin for his excellent Preface. We also express our gratitude to members of DIMACS' staff who kindly helped with the support of the workshop and the preparation of this volume. The leadership of Fred Roberts in developing the multi-year epidemiology program has been an inspiration to many researchers, and this volume owes its existence to his efforts. We also thank the Purdue Mathematics Department for providing technical support. Finally, we thank the authors for their outstanding contributions.

The workshop and the preparation of this volume were partially supported by an NSF grant to DIMACS, and by NSF and James S. McDonnell Foundation grants to ZF.


Zhilan Feng (Purdue University)

Ulf Dieckmann (International Institute for Applied Systems Analysis, Austria)

Simon Levin (Princeton University)