Mathematical Approaches for Emerging and Re-Emerging Infectious Diseases

by Castillo-Chavez, Carlos; Blower, Sally; Van Den Driessche, Pauline; Kirschner, Denise

• ISBN13: 9780387953557
• ISBN10: 0387953558
• Format: Hardcover
• Copyright: 2002-05-01
• Publisher: Springer Verlag

Summary

This book grew out of the discussions and presentations that began during the Workshop on Emerging and Reemerging Diseases (May 17-21, 1999) sponsored by the Institute for Mathematics and its Application (IMA) at the University of Minnesota with the support of NIH and NSF. The workshop started with a two-day tutorial session directed to ecologists, epidemiologists, immunologists, mathematicians, and scientists interested in the study of disease dynamics. The core of this second volume, Volume 126, covers research contributions on the use of dynamical systems (deterministic discrete, delay, PDEs, and ODEs models) and stochastic models in disease dynamics. Contributions motivated by the study of diseases like influenza, HIV, tuberculosis, and macroparasitic like schistosomiasis are also included. This second volume requires additional mathematical sophistication, and graduate students in applied mathematics, scientists in the natural, social, and health sciences, or mathematicians who want to enter the field of mathematical and theoretical epidemiology will find it useful. The collection of contributors includes many who have been in the forefront of the development of the subject.

Table of Contents

Foreword	v
Preface	vii
New directions in the mathematics of infectious disease	1	(6)
Simon A. Levin
Fred Brauer: The man and his mathematics	7	(14)
Christopher M. Kribs-Zaleta
Kenneth L. Cooke: Researcher, educator par excellence	21	(10)
P. van den Driessche
Maximal prevalence and the basic reproduction number in simple epidemics	31	(14)
L. Esteva
K.P. Hadeler
The transition through stages with arbitrary length distributions, and applications in epidemics	45	(40)
Horst R. Thieme
Measles outbreaks are not chaotic	85	(30)
Ingemar Nasell
Epidemics among a population of households	115	(28)
Frank G. Ball
Omen D. Lyne
Infection transmission dynamics and vaccination program effectiveness as a function of vaccine effects in individuals	143	(14)
Carl P. Simon
James S. Koopman
The influence of different forms of cross-protective immunity on the population dynamics of antigenically diverse pathogens	157	(14)
Neil Fergruson
Viggo Andreasen
Dynamics of multiple strains of infectious agents coupled by cross-immunity: A comparison of models	171	(22)
M. Gabriela M. Gomes
Graham F. Medley
Virulence evolution in macro-parasites	193	(22)
Andre Pugliese
Mathematical models for schistosomiasis with delays and multiple definitive host	215	(16)
Jianhong Wn
Zhilan Feng
Infectious disease models with chronological age structure and epidemiological age structure	231	(14)
Fred Brauer
Effects of genetic heterogeneity on HIV transmission in homosexual populations	245	(16)
Shu-Fang Hsu Schmitz
Age-structured core group model and its impact on STD dynamics	261	(14)
Carlos Castillo-Chavez
Wenzhang Hang
Global dynamics of tuberculosis models with density dependent demography	275	(20)
Baojun Song
Carlos Castillo-Chavez
Juan P. Aparicio
Global stability in some SEIR epidemic models	295	(18)
Michael Y. Li
Liancheng Wang
The global stability analysis for an SIS model with age and infection age structures	313	(24)
Yicang Zho
Baojun Song
Zhien Ma
Endemic threshold and stability in an evolutionary epidemic model	337	(24)
Hisashi Inaba
Epilogue	361	(2)
List of tutorial/workshop participants	363	(4)
IMA volume 125 contents: Mathematical approaches for emerging and reemerging infectious diseases: an introduction	367