Structured Population Models in Biology and Epidemiology / Edition 1

by Pierre Magal, P. Auger, Shigui Ruan, M. Ballyk, R. Bravo de la Parra

Overview

In this new century mankind faces ever more challenging environmental and public health problems, such as pollution, invasion by exotic species, the em- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),and there surgence of existing diseases (influenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to find solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investi- tion of antibiotic-resistant infections in hospitals. Structured population models distinguish individuals from one another- cording to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics affect the dynamics of these models and thus the outcomes and consequences of the biological and epidemiolo- cal processes. There is a very large and growing body of literature on these topics. This book deals with the recent and important advances in the study of structured population models in biology and epidemiology. There are six chapters in this book, written by leading researchers in these areas.

Product Details

ISBN-13:	9783540782728
Publisher:	Springer Berlin Heidelberg
Publication date:	06/06/2008
Series:	Lecture Notes in Mathematics , #1936
Edition description:	2008
Pages:	302
Product dimensions:	6.00(w) x 9.20(h) x 0.50(d)

About the Author

Pierre Magal is an Associate Professor of Mathematics at the University of Le Havre, France. He received the Ph.D. degree (1996) in applied mathematics from the University of Pau, France and the HDR (2003) in applied mathematics from the University of Le Havre, France. His research interests include semigroup theory, population dynamics, and mathematical biology.

Shigui Ruan is a Professor of Mathematics at the University of Miami, Coral Gables, USA. He received the Ph.D. degree (1992) in applied mathematics from the University of Alberta, Edmonton, Canada. He was a Junior Fellow at the Fields Institute, Toronto, Canada in1992-1993 and a postdoctoral fellow at McMaster University, Hamilton, Canada in 1993-1994. From 1994 to 2002, he was an Assistant and Associate Professor at Dalhousie University, Halifax, Canada. His research interests are Differential Equations, Dynamical Systems, and Mathematical Biology.

Table of Contents

Population Models Structured by Age, Size, and Spatial Position.- Infinite ODE Systems Modeling Size-Structured Metapopulations, Macroparasitic Diseases, and Prion Proliferation.- Simple Models for the Transmission of Microparasites Between Host Populations Living on Noncoincident Spatial Domains.- Spatiotemporal Patterns of Disease Spread: Interaction of Physiological Structure, Spatial Movements, Disease Progression and Human Intervention.- Aggregation of Variables and Applications to Population Dynamics.- The Biofilm Model of Freter: A Review.