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Age Structured Epidemic Modeling

  • Xue-Zhi Li
  • Junyuan Yang
  • Maia Martcheva
Book
  • 690 Downloads

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 52)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Xue-Zhi Li, Junyuan Yang, Maia Martcheva
    Pages 23-67
  3. Xue-Zhi Li, Junyuan Yang, Maia Martcheva
    Pages 69-103
  4. Xue-Zhi Li, Junyuan Yang, Maia Martcheva
    Pages 105-151
  5. Xue-Zhi Li, Junyuan Yang, Maia Martcheva
    Pages 153-209
  6. Xue-Zhi Li, Junyuan Yang, Maia Martcheva
    Pages 211-257
  7. Xue-Zhi Li, Junyuan Yang, Maia Martcheva
    Pages 259-299
  8. Xue-Zhi Li, Junyuan Yang, Maia Martcheva
    Pages 301-359
  9. Back Matter
    Pages 361-383

About this book

Introduction

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

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

Authors and affiliations

  • Xue-Zhi Li
    • 1
  • Junyuan Yang
    • 2
  • Maia Martcheva
    • 3
  1. 1.College of Mathematics and Information SciencesHenan Normal University XinxiangXinxiangChina
  2. 2.Complex Systems Research CenterShanxi University TaiyuanShanxiChina
  3. 3.Dept of Math, Little Hall 358University of FloridaGainesvilleUSA

Bibliographic information