Authors:
- 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
Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 52)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
Reviews
“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)
Authors and Affiliations
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College of Mathematics and Information Sciences, Henan Normal University Xinxiang, Xinxiang, China
Xue-Zhi Li
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Complex Systems Research Center, Shanxi University Taiyuan, Shanxi, China
Junyuan Yang
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Dept of Math, Little Hall 358, University of Florida, Gainesville, USA
Maia Martcheva
Bibliographic Information
Book Title: Age Structured Epidemic Modeling
Authors: Xue-Zhi Li, Junyuan Yang, Maia Martcheva
Series Title: Interdisciplinary Applied Mathematics
DOI: https://doi.org/10.1007/978-3-030-42496-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-42495-4Published: 29 May 2020
Softcover ISBN: 978-3-030-42498-5Published: 29 May 2021
eBook ISBN: 978-3-030-42496-1Published: 28 May 2020
Series ISSN: 0939-6047
Series E-ISSN: 2196-9973
Edition Number: 1
Number of Pages: XII, 383
Number of Illustrations: 1 b/w illustrations, 25 illustrations in colour
Topics: Mathematical and Computational Biology, Mathematical Modeling and Industrial Mathematics, Systems Biology