Structured population models in biology and epidemiology

G. F. Webb (auth.), Pierre Magal, Shigui Ruan (eds.)3540782729, 9783540782728, 9783540782735, 3540782737

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.

Table of contents :
Front Matter….Pages I-XII
Population Models Structured by Age, Size, and Spatial Position….Pages 1-49
Infinite ODE Systems Modeling Size-Structured Metapopulations, Macroparasitic Diseases, and Prion Proliferation….Pages 51-113
Simple Models for the Transmission of Microparasites Between Host Populations Living on Noncoincident Spatial Domains….Pages 115-164
Spatiotemporal Patterns of Disease Spread: Interaction of Physiological Structure, Spatial Movements, Disease Progression and Human Intervention….Pages 165-208
Aggregation of Variables and Applications to Population Dynamics….Pages 209-263
The Biofilm Model of Freter: A Review….Pages 265-302
Back Matter….Pages 303-306