Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction

New directions in the mathematics of infectious disease.- Fred Brauer: The man and his mathematics.- Kenneth L. Cooke: Researcher, educator par excellence.- Basic ideas of mathematical epidemiology.- Extensions of the basic models.- New vaccination strategies for pertussis.- Time delay in epidemic models.- Nonlocal response in a simple epidemiological model.- Discrete-time S-I-S models with simple and complex population dynamics.- Intraspecific competition, dispersal and disease dynamics in discrete-time patchy environments.- The impact of long-range dispersal on the rate of spread in population and epidemic models.- Endemicity, persistence, and quasi-stationarity.- On the computation of R0 and its role in global stability.- Nonlinear mating models for populations with discrete generations.- Center manifolds and normal forms in epidemic models.- Remarks on modeling host-viral dynamics and treatment.- A multiple compartment model for the evolution of HIV-1 after highly active antiretroviral therapy.- Modeling cancer as an infectious disease: The epidemiology of Helicobacter pylori.- Frequency dependent risk of infection and the spread of infectious diseases.- Long-term dynamics and re-emergence of tuberculosis.- Epilogue.- List of tutorial/workshop participants.- IMA volume 126 contents: Mathematical approaches for emerging and reemerging infectious diseases: models, methods and theory.