Structured Population Models in Biology and Epidemiology

In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),andtheresurgenceofexistingdiseases(in?uenza, 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 ?nd 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. Structuredpopulationmodelsdistinguishindividualsfromoneanother- 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 a?ect 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.

List 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.

Product details

• Assisted by: Pierre Magal (Editor), Shigui Ruan (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 30.04.2008
• EAN: 9783540782728
• ISBN: 978-3-540-78272-8
• No. of pages: 302
• Dimensions: 155 mm x 17 mm x 235 mm
• Weight: 490 g
• Illustrations: XII, 302 p. 63 illus., 32 illus. in color.
• Series: Lecture Notes in Mathematics; Mathematical Biosciences Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; B, DV-gestützte Biologie/Bioinformatik, Angewandte Mathematik, Mathematics and Statistics, Applications of Mathematics, Ordinary Differential Equations, Partial Differential Equations, Differential calculus & equations, Differential equations, Engineering mathematics, Applied mathematics, Maths for scientists, Biomathematics, Mathematical and Computational Biology