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Texts in Applied Mathematics

Mathematical Models in Epidemiology

Authors: Brauer, Fred, Castillo-Chavez, Carlos, Feng, Zhilan

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  • A  modern description of many important areas of mathematical epidemiology
  • Provides an introduction to the formation and analysis of disease transmission models
  • Exercise sets and some projects included
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eBook 59,49 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-1-4939-9828-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,99 €
price for Korea, Republic of (South Korea) (gross)
  • 까지: November 26, 2019
  • ISBN 978-1-4939-9826-5
  • Free shipping for individuals worldwide
About this Textbook

The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future.

There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.


About the authors

Fred Brauer is a Professor Emeritus at the University of Wisconsin - Madison and an Honorary professor at the University of British Columbia. His research interests are in dynamical systems and mathematical models in epidemiology. He has been active in the China - Canada Joint Program on Infectious Diseases and in the organization of several summer programs organized by MITACS ( Mathematics for Information Technology and Complex Systems) to present mathematical epidemiology to a mixed audience of mathematicians and public health professionals and encourage contacts between these groups.
Carlos Castillo-Chavez is a Regents Professor, Joaquin Bustoz Jr.  Professor of Mathematical Biology, Distinguished Sustainability Scientist and Founding Director of the Simon A. Levin Mathematical, Computational and Modeling Sciences Center at ASU. He has co-authored over 250 publications, most at the interface of the life, mathematics and social sciences. He was recognized with three White House Awards (1992, 1997, 2011), served on President Obama’s Committee on the National Medal of Science (2010-2015) and per the Mathematics Genealogy Project, is among the top 200 mentors of PhD students in the history of mathematics.  He is a George Polya Lecturer (2017-19). He serves as a Provost Visiting Professor at Brown University (2019).

Zhilan Feng is a Professor of Mathematics at Purdue University. She is an editor for Journal of Theoretical Biology, Mathematical Biosciences, Mathematical Biosciences and Engineering, Journal of Biological Dynamics, and SIAM Journal on Applied Mathematics. She is a program director for the NSF Mathematical Biology Program 2019-2020.



Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook 59,49 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-1-4939-9828-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,99 €
price for Korea, Republic of (South Korea) (gross)
  • 까지: November 26, 2019
  • ISBN 978-1-4939-9826-5
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Models in Epidemiology
Authors
Series Title
Texts in Applied Mathematics
Series Volume
69
Copyright
2019
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC, part of Springer Nature
eBook ISBN
978-1-4939-9828-9
DOI
10.1007/978-1-4939-9828-9
Hardcover ISBN
978-1-4939-9826-5
Series ISSN
0939-2475
Edition Number
1
Number of Pages
XVII, 619
Number of Illustrations
54 b/w illustrations, 67 illustrations in colour
Topics