This book consists of six chapters written by leading researchers in mathematical biology. These chapters present recent and important developments in the study of structured population models in biology and epidemiology. Topics include population models structured by age, size, and spatial position; size-structured models for metapopulations, macroparasitc diseases, and prion proliferation; models for transmission of microparasites between host populations living on non-coincident spatial domains; spatiotemporal patterns of disease spread; method of aggregation of variables in population dynamics; and biofilm models.
It is suitable as a textbook for a mathematical biology course or a summer school at the advanced undergraduate and graduate level. It can also serve as a reference book for researchers looking for either interesting and specific problems to work on or useful techniques and discussions of some particular problems.
Population Models Structured by Age, Size, and Spatial Position (Glenn Webb).- Infinite ODE Systems Modeling Size-structured Metapopulations, Macroparasitic Diseases, and Prion Proliferation (Maia Martcheva and Horst Thieme).- Simple Models for the Transmission of Microparasites between Host Populations Living on Non-coincident Spatial Domains (William E. Fitzgibbon and Michel Langlais).- Spatiotemporal Patterns of Disease Spread: Interaction of Physiological Structure, Spatial Movements, Disease Progression and Human Intervention (Stephen A. Gourley, Rongsong Liu, and Jianhong Wu).- Aggregation of Variables and Applications to Population Dynamics (Pierre Auger, Rafael Bravo de la Parra, Jean-Christophe Poggiale, Eva Sanchez, and T. Nguyen-Huu).- The Biofilm Model of Freter: A Review (Mary Ballyk, Don Jones, and Hal Smith).
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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.