Nonlinear Systems and Complexity

Infectious Disease Modeling

A Hybrid System Approach

Authors: Liu, Xinzhi, Stechlinski, Peter

Free Preview
  • Imparts a quantitative understanding of the roles seasonality and population behavior play in the spread of a disease;
  • Illustrates formulation and theoretical analysis of mathematical disease models and control strategies;
  • Investigates how abrupt changes in the model parameters or function forms affect control schemes;
  • Explains techniques from switched and hybrid systems applicable to disease models as well as many other important applications in mathematics, engineering, and computer science;
  • Adopts a treatment accessible to individuals with a background in dynamic systems or with a background in epidemic modeling.
see more benefits

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-3-319-53208-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-53206-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $109.99
price for USA in USD
  • ISBN 978-3-319-85090-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

This volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. The scope of coverage includes background on mathematical epidemiology, including classical formulations and results; a motivation for seasonal effects and changes in population behavior, an investigation into term-time forced epidemic models with switching parameters, and a detailed account of several different control strategies. The main goal is to study these models theoretically and to establish conditions under which eradication or persistence of the disease is guaranteed. In doing so, the long-term behavior of the models is determined through mathematical techniques from switched systems theory. Numerical simulations are also given to augment and illustrate the theoretical results and to help study the efficacy of the control schemes.


About the authors

Xinzhi Liu is a Professor of Mathematics at the University of Waterloo. Peter Stechlinski is a Postdoctoral Fellow in the Process Systems Engineering Laboratory at the Massachusetts Institute of Technology

Reviews

“If you have a serious interest in the epidemiology of infectious diseases and are eager to roll up your sleeves, please consult this book … .” (Odo Diekmann, SIAM Review, Vol. 61 (1), March, 2019)

“This book focuses on infectious disease mathematical models, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. … This book is strongly recommended to graduate level students with a background in dynamic system or epidemic modeling and an interest in mathematical biology, epidemic models, and physical problems exhibiting a mixture of continuous and discrete dynamics.” (Hemang B. Panchal, Doody’s Book Reviews, April, 2017)

“This book presents a new type of switched model for the spread of infectious diseases. … This book should be useful and attractive for students and researchers seeking updated progresses in the field of epidemic modeling … .” (Yilun Shang, zbMATH 1362.92002, 2017)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-3-319-53208-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-53206-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $109.99
price for USA in USD
  • ISBN 978-3-319-85090-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

Bibliographic Information

Bibliographic Information
Book Title
Infectious Disease Modeling
Book Subtitle
A Hybrid System Approach
Authors
Series Title
Nonlinear Systems and Complexity
Series Volume
19
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-53208-0
DOI
10.1007/978-3-319-53208-0
Hardcover ISBN
978-3-319-53206-6
Softcover ISBN
978-3-319-85090-0
Series ISSN
2195-9994
Edition Number
1
Number of Pages
XVI, 271
Number of Illustrations
5 b/w illustrations, 67 illustrations in colour
Topics