Skip to main content

Deterministic Threshold Models in the Theory of Epidemics

  • Book
  • © 1974

Overview

Part of the book series: Lecture Notes in Biomathematics (LNBM, volume 1)

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

Keywords

About this book

These notes correspond to a set of lectures given at the Univerยญ sity of Alberta during the spring semester, 1973. The first four secยญ tions present a systematic development of a deterministic, threshold model for the spraad of an infection. Section 5 presents some compuยญ tational results and attempts to tie the model with other mathematics. In each of the last three sections a separate, specialized topic is presented. The author wishes to thank Professor F. Hoppensteadt for making available preprints of two of his papers and for reading and commentยญ ing on a preliminary version of these notes. He also wishes to thank Professor J. Mosevich for providing the graphs in Section 5. The visit at the University of Alberta was a very pleasant one and the author wishes to express his appreciation to Professors S. Ghurye and J. Macki for the invitation to visit there. Finally, thanks are due to the very competent secretarial staff at the University of Alberta for typing the original draft of the lecture notes and to Mrs. Ada Burns of the University of Iowa for her excellent typescript of the final version. TABLE OF CONTENTS 1. A Simple Epidemic Model with Permanent Removal . . . โ€ข . . . 1 2. A More General Model and the Determination of the Intensity of an Epidemic. 10 21 3. A Threshold Model. 4. A Threshold Model with Temporary Immunity. 34 5. Some Special Cases and Some Numerical Examples 48 A Two Population Threshold Model . 62 6.

Authors and Affiliations

  • The University of Iowa, Iowa City, USA

    Paul Waltman

Bibliographic Information

  • Book Title: Deterministic Threshold Models in the Theory of Epidemics

  • Authors: Paul Waltman

  • Series Title: Lecture Notes in Biomathematics

  • DOI: https://doi.org/10.1007/978-3-642-80820-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin ยท Heidelberg 1974

  • Softcover ISBN: 978-3-540-06652-1Published: 22 March 1974

  • eBook ISBN: 978-3-642-80820-3Published: 08 March 2013

  • Series ISSN: 0341-633X

  • Series E-ISSN: 2196-9981

  • Edition Number: 1

  • Number of Pages: VI, 102

  • Topics: Mathematics, general

Publish with us