The Basic Approach to Age-structured Population Dynamics ― Models, Methods and Numerics

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 modeling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behavior 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.

Fabio Milner obtained the degree of Licenciado en Ciencias Matematicas in Argentina in 1976 before moving to the USA in 1978. He obtained his PhD in Numerical Analysis in 1983 from the University of Chicago and joined the faculty of Purdue University immediately thereafter. He left Purdue in 2008 as Full Professor when he joined Arizona State University as Director of Mathematics for STEM Education. He shifted the focus of his research to mathematical biology after meeting Mimmo Iannelli in 1997. Milner is the author of numerous scientific publications, including 14 articles and one book that were co-authored by Mimmo Iannelli.