Mathematical Modeling in Epidemiology

  • James C. Frauenthal

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-IX
  2. James C. Frauenthal
    Pages 1-11
  3. James C. Frauenthal
    Pages 12-24
  4. James C. Frauenthal
    Pages 25-40
  5. James C. Frauenthal
    Pages 41-53
  6. James C. Frauenthal
    Pages 54-65
  7. James C. Frauenthal
    Pages 66-78
  8. James C. Frauenthal
    Pages 79-88
  9. James C. Frauenthal
    Pages 89-98
  10. James C. Frauenthal
    Pages 99-109
  11. Back Matter
    Pages 117-120

About this book

Introduction

The text of this book is derived from courses taught by the author in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook. The audience for these courses was composed almost entirely of fourth year undergraduate students majoring in the mathematical sciences. The students had ordinarily completed four semesters of calculus and one of probability. Few had any prior experience with differential equations, stochastic processes, or epidemiology. It also seems prudent to mention that the author's background is in engineering and applied mathematics and not in epidemiology; it is hoped that this is not painfully obvious. The topics covered in this book have in some cases been modified from the way they were originally presented. However, care has been taken to include a suitable amount of material for a one semester course; the temptation to add gratuitous subject matter has been resisted. Similarly, when a choice between clarity and rigor was available, the more easily understood exposition was selected. By looking only at the table of contents, the casual reader could be easily misled into thinking that the main concern of this book is with epidemiology. This is not the case. The purpose of this book is to illustrate the process of formulating and solving mathematical models.

Keywords

Epidemiologie Modeling biologisch-mathematisches Modell epidemiology linear optimization mathematical modeling mathematics

Authors and affiliations

  • James C. Frauenthal
    • 1
  1. 1.Department of Applied Mathematics and StatisticsState University of New YorkStony BrookUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-67795-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1980
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-10328-8
  • Online ISBN 978-3-642-67795-3
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book
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