Age Structured Epidemic Modeling

This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.

Provides an introduction to multi-scale immuno-epidemiological modeling Includes all current types of multi-scale immuno-epidemiological models Provides numerical methods and MATLAB codes for quick implementation of the models in practice Includes both closed form analytical and more realistic computational models

Zusammenfassung
"The book presents a collection of mathematical tools, modeling approaches and numerical recipes used in age structured modeling, showcased via a substantial number of concrete examples, all worked out and discussed in great detail. ... More importantly, it retains the same clarity and attention to detail, which makes the book suitable for a graduate course in age structured epidemiological modeling, the reader being constantly guided via comments, motivations and proof details that are not usually spelled out in articles." (Paul Georgescu, Mathematical Reviews, March, 2022)

Inhalt
Linear Age-Structured Population Models as a Base of Age-structured Epidemic Models.- Age-Structured Epidemic Models.- Nested immuno-epidemiological models.- Age-since-infection structured models based on game theory.- Age structure models on complex networks.- Vector borne age structured models.- Metapopulation and Multigroup age-structured models.- Class age-structured epidemic models.- Appendix.