Skip to main content
SpringerLink
Log in
Birkhäuser

Introduction to Population Modeling

  • Textbook
  • © 1979

Overview

Authors:
  1. James C. Frauenthal

    1. Applied Mathematics and Statistics, State University of New York, Stony Brook, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

Access this book

Log in via an institution
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 (12 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Simple Single Species Population Models

    • James C. Frauenthal
    Pages 1-11

  3. Stochastic Birth and Death Processes

    • James C. Frauenthal
    Pages 13-24

  4. A Two Age Group Population Model

    • James C. Frauenthal
    Pages 25-33

  5. Time Delayed Logistic Equations

    • James C. Frauenthal
    Pages 35-46

  6. Population Growth in a Time-Varying Environment

    • James C. Frauenthal
    Pages 47-58

  7. Stable Points, Stable Cycles and Chaos

    • James C. Frauenthal
    Pages 59-75

  8. Introduction to Two Species Models: Predator-Prey

    • James C. Frauenthal
    Pages 77-94

  9. Competition and Mutualism

    • James C. Frauenthal
    Pages 95-107

  10. Quadratic Two-Species Population Models

    • James C. Frauenthal
    Pages 109-122

  11. Three Species Competition

    • James C. Frauenthal
    Pages 123-131

  12. Complexity vs. Stability

    • James C. Frauenthal
    Pages 133-143

  13. Solutions to Problems

    • James C. Frauenthal
    Pages 145-186
Back to top

Keywords

About this book

The text of this monograph represents the author's lecture notes from a course taught in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook in the Spring of 1977. On account of its origin as lecture notes, some sections of the text are telegraphic in style while other portions are overly detailed. This stylistic foible has not been modified as it does not appear to detract seriously from the readability and it does help to indicate which topics were stressed. The audience for the course at Stony Brook was composed almost entirely of fourth year undergraduates majoring in the mathematical sciences. All of these students had studied at least four semesters of calculus and one of probability; few had any prior experience with either differential equations or ecology. It seems prudent to point out that the author's background is in engineering and applied mathematics and not in the biological sciences. It is hoped that this is not painfully obvious. -vii- The focus of the monograph is on the formulation and solution of mathematical models; it makes no pretense of being a text in ecology. The idea of a population is employed mainly as a pedagogic tool, providing unity and intuitive appeal to the varied mathematical ideas introduced. If the biological setting is stripped away, what remains can be interpreted as topics on the qualitative behavior of differential and difference equations.

Authors and Affiliations

  • Applied Mathematics and Statistics, State University of New York, Stony Brook, USA

    James C. Frauenthal

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation