Mathematical Approaches to Problems in Resource Management and Epidemiology

Proceedings of a Conference held at Ithaca, NY, Oct. 28–30, 1987

  • Carlos Castillo-Chavez
  • Simon A. Levin
  • Christine A. Shoemaker

Part of the Lecture Notes in Biomathematics book series (LNBM, volume 81)

Table of contents

  1. Front Matter
    Pages N2-VII
  2. Cell Population Dynamics

    1. Front Matter
      Pages 1-1
    2. F. C. Hoppensteadt
      Pages 16-22
  3. Resource Management

  4. Infectious Diseases

    1. Front Matter
      Pages 101-101
    2. Stavros Busenberg, Kenneth Cooke, Mimmo Iannelli
      Pages 124-141
    3. Fred Adler, Lincoln Smith, Carlos Castillo-Chavez
      Pages 152-162
  5. Acquired Immunodefiency Syndrome (AIDS)

    1. Front Matter
      Pages 163-163
    2. Herbert W. Hethcote
      Pages 164-176
    3. Carlos Castillo-Chavez, Kenneth Cooke, Wenzhang Huang, Simon A. Levin
      Pages 177-189
    4. James M. Hyman, E. Ann Stanley
      Pages 190-219
  6. Fitting Models to Data

  7. Dynamic Properties of Population Models

    1. Front Matter
      Pages 285-285
    2. John Guckenheimer
      Pages 319-327
  8. Erratum

  9. Back Matter
    Pages 331-333

About these proceedings


Increasingly, mathematical methods are being used to advantage in addressing the problems facing humanity in managing its environment. Problems in resource management and epidemiology especially have demonstrated the utility of quantitative modeling. To explore these approaches, the Center of Applied Mathematics at Cornell University organized a conference in Fall, 1987, with the objective of surveying and assessing the state of the art. This volume records the proceedings of that conference. Underlying virtually all of these studies are models of population growth, from individual cells to large vertebrates. Cell population growth presents the simplest of systems for study, and is of fundamental importance in its own right for a variety of medical and environmental applications. In Part I of this volume, Michael Shuler describes computer models of individual cells and cell populations, and Frank Hoppensteadt discusses the synchronization of bacterial culture growth. Together, these provide a valuable introduction to mathematical cell biology.


AIDS biology dynamics environment environmental policy epidemics epidemiology evolution growth mathematical modeling mathematics population biology population dynamics system tree

Editors and affiliations

  • Carlos Castillo-Chavez
    • 1
  • Simon A. Levin
    • 2
  • Christine A. Shoemaker
    • 3
  1. 1.Biometrics Unit and Center for Applied MathematicsCornell UniversityIthacaUSA
  2. 2.Section of Ecology and Systematics, Center for Environmental Research and Center for Applied MathematicsCornell UniversityIthacaUSA
  3. 3.School of Civil and Environmental Engineering and Center for Applied MathematicsCornell UniversityIthacaUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51820-4
  • Online ISBN 978-3-642-46693-9
  • Series Print ISSN 0341-633X
  • Buy this book on publisher's site