New directions in the mathematics of infectious disease / Simon A. Levin -- Fred Brauer: The man and his mathematics / Christopher M. Kribs-Zaleta -- Kenneth L. Cooke: Researcher, educator par excellence / P. van den Driessche -- Maximal prevalence and the basic reproduction number in simple epidemics / L. Esteva and K.P. Hadeler -- The transition through stages with arbitrary length distributions, and applications in epidemics / Horst R. Thieme -- Measles outbreaks are not chaotic / Ingemar Nåsell -- Epidemics among a population of households / Frank G. Ball and Owen D. Lyne -- Infection transmission dynamics and vaccination program effectiveness as a function of vaccine effects in individuals / Carl P. Simon and James S. Koopman -- The influence of different forms of cross-protective immunity on the population dynamics of antigenically diverse pathogens / Neil Ferguson and Viggo Andreasen -- Dynamics of multiple strains of infectious agents coupled by cross-immunity: A comparison of models / M. Gabriela, M. Gomes and Graham F. Medley -- Virulence evolution in macro-parasites / Andrea Pugliese -- Mathematical models for schistosomiasis with delays and multiple definitive hosts / Jianhong Wu and Zhilan Feng -- Infectious disease models with chronological age structure and epidemiological age structure / Fred Brauer -- Effects of genetic heterogeneity on HIV transmission in homosexual populations / Shu-Fang Hsu Schmitz -- Age-structured core group model and its impact on STD dynamics / Carlos Castillo-Chavez and Wenzhang Huang -- Global dynamics of tuberculosis models with density dependent demography / Baojun Song, Carlos Castillo-Chavez, and Juan P. Aparicio -- Global stability in some SEIR epidemic models / Michael Y. Li and Liancheng Wang -- The global stability analysis for an SIS model with age and infection age structures / Yicang Zhou, Baojun Song, and Zhien Ma -- Endemic threshold and stability in an evolutionary epidemic model / Hisashi Inaba