The Basic Approach to Age-Structured Population Dynamics

Subtitle
Models, Methods and Numerics

This book provides an introduction to age-structured population modeling, which emphasises the connection between mathematical theory and underlying biological assumptions.

Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical equations that describe the dynamics of certain ecological systems. Modeling aspects are discussed to show how relevant problems in the fields of demography, ecology and epidemiology can be formulated and treated within the theory. In particular, the book presents extensions of age-structured modelling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behaviour of solutions, and numerical approximation. With sections on transmission models, non-autonomous models and global dynamics, this book fills a gap in the literature on theoretical population dynamics.

"The Basic Approach to Age-Structured Population Dynamics" will appeal to graduate students and researchers in mathematical biology, epidemiology and demography who are interested in the systematic presentation of relevant models and mathematical methods.

Bio

Fabio Milner obtained his PhD in numerical analysis in 1983 from the University of Chicago and joined the faculty of Purdue University. In 2008, he joined Arizona State University as director of mathematics for STEM education. Milner is the author of numerous scientific publications, including 14 articles and one book that were co-authored by Mimmo Iannelli.