Age Structured Epidemic Modeling
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Beschreibung
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.
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
Autor*in
Xue-Zhi Li
Themen in »Age Structured Epidemic Modeling«
Immuno-epidemiological Modeling Multi-scale Infectious Disease Modeling Nested Immuno-epidemiological Models Size-structured Immuno-epidemiological Models Network Immuno-epidemiological Models Adaptive behavior Complex networks Game theory Compact operators Lyapunov functional Systems Biology
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“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)
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