Mathematical Modeling in Epidemiology

Mathematical Modeling in Epidemiology

by James C. Frauenthal

Paperback(Softcover reprint of the original 1st ed. 1980)

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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.

Product Details

ISBN-13: 9783540103288
Publisher: Springer Berlin Heidelberg
Publication date: 11/11/1980
Series: Universitext
Edition description: Softcover reprint of the original 1st ed. 1980
Pages: 120
Sales rank: 690,316
Product dimensions: 6.69(w) x 9.61(h) x 0.01(d)

Table of Contents

1. Deterministic Epidemic Models.- 2. Rumors and Mousetraps.- 3. Stochastic Epidemic Models.- 4. Chain Binomial Models.- 5. Branching Process Model.- 6. Smallpox Vaccination Discontinuation.- 7. Schistosomiasis Eradication.- 8. Gonorrhea.- 9. Sickle Cell Anemia.- Problem Solutions.

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