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Mathematical Models for Communicable Diseases

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by Fred Brauer and Carlos Castillo-Chavez


2013 / xviii + 270 pages / Softcover / ISBN 978-1-611972-41-2 / List Price $84.50 / SIAM Member Price $59.15 / Order Code CB84

Keywords: mathematical epidemiology, models, disease transmission, emergent and re-emergent diseases


This graduate-level textbook appeals to readers interested in the mathematical theory of disease transmission models. It is self-contained and accessible to readers who are comfortable with calculus, elementary differential equations, and linear algebra. The book provides insight into modeling

  • cross-immunity between different disease strains (such as influenza) and the synergistic interactions between multiple diseases (e.g., HIV and tuberculosis); 
  • diseases transmitted by viral agents, bacteria, and vectors (e.g., mosquitos transmitting malaria to humans); and
  • both epidemic and endemic disease occurrences.

This text is appropriate for graduate-level courses in epidemiology for students in mathematics departments as well as for students in epidemiology programs who have a strong background in mathematics. It will also be of interest to researchers with backgrounds in the epidemiological, mathematical, and medical sciences and individuals involved in the development, implementation, and evaluation of public health policy.

About the Authors
Fred Brauer is a Professor Emeritus at the University of Wisconsin-Madison and an Honourary Professor at the University of British Columbia. His research interests include ordinary differential equations and population biology. He has co-authored books in differential equations and mathematical epidemiology, including his recent textbook, Mathematical Models in Population Biology and Epidemiology, 2nd Edition, written with Carlos Castillo-Chavez.

Carlos Castillo-Chavez is a Regents and a Joaquin Bustoz Jr. Professor at Arizona State University (ASU), a member of the Santa Fe InstituteÕs external faculty, and an adjunct professor at Cornell University. He is the founding director of the Mathematical, Computational and Modeling Sciences Center and the graduate field in applied mathematics in the life and social sciences (AMLSS) at ASU. He is a Fellow of the American Association for the Advancement of Science and SIAM.

ISBN 9781611972412

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