Applied Mathematical Ecology

1. Front Matter

   Pages i-xiv

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2. Introduction

   1. Front Matter

      Pages 1-1

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   2. Ecology in Theory and Application

      • Simon A. Levin

      Pages 3-8

3. Resource Management

   1. Front Matter

      Pages 9-9

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   2. Bioeconomic Modeling and Resource Management

      • Colin W. Clark

      Pages 11-57

   3. Common Property and the Conservation of Natural Resources

      • Robert McKelvey

      Pages 58-80

   4. Information and Area-Wide Control in Agricultural Ecology

      • Marc Mangel

      Pages 81-116

4. Epidemiology

   1. Front Matter

      Pages 117-117

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   2. Three Basic Epidemiological Models

      • Herbert W. Hethcote

      Pages 119-144

   3. The Population Biology of Parasitic Helminths in Animal Populations

      • A. P. Dobson

      Pages 145-175

   4. Simple Versus Complex Epidemiological Models

      • Joan L. Aron

      Pages 176-192

   5. Periodicity in Epidemiological Models

      • Herbert W. Hethcote, Simon A. Levin

      Pages 193-211

   6. Rubella

      • Herbert W. Hethcote

      Pages 212-234

   7. Influenza and Some Related Mathematical Models

      • Wei-min Liu, Simon A. Levin

      Pages 235-252

   8. Review of Recent Models of HIV/AIDS Transmission

      • Carlos Castillo-Chavez

      Pages 253-262

   9. The Transmission Dynamics of Human Immunodeficiency Virus (HIV)

      • Robert M. May, Roy M. Anderson

      Pages 263-311

5. Ecotoxicology

   1. Front Matter

      Pages 313-313

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   2. Models in Ecotoxicology: Methodological Aspects

      • Simon A. Levin

      Pages 315-321

   3. Deterministic and Statistical Models of Chemical Fate in Aquatic Systems

      • Robert V. Thomann

      Pages 322-351

   4. Effects of Toxicants on Aquatic Populations

      • Thomas G. Hallam, Ray R. Lassiter, S. A. L. M. Kooijman

      Pages 352-382

The Second Autumn Course on Mathematical Ecology was held at the Intern­ ational Centre for Theoretical Physics in Trieste, Italy in November and December of 1986. During the four year period that had elapsed since the First Autumn Course on Mathematical Ecology, sufficient progress had been made in applied mathemat­ ical ecology to merit tilting the balance maintained between theoretical aspects and applications in the 1982 Course toward applications. The course format, while similar to that of the first Autumn Course on Mathematical Ecology, consequently focused upon applications of mathematical ecology. Current areas of application are almost as diverse as the spectrum covered by ecology. The topiys of this book reflect this diversity and were chosen because of perceived interest and utility to developing countries. Topical lectures began with foundational material mostly derived from Math­ ematical Ecology: An Introduction (a compilation of the lectures of the 1982 course published by Springer-Verlag in this series, Volume 17) and, when possible, progressed to the frontiers of research. In addition to the course lectures, workshops were arranged for small groups to supplement and enhance the learning experience. Other perspectives were provided through presentations by course participants and speakers at the associated Research Conference. Many of the research papers are in a companion volume, Mathematical Ecology: Proceedings Trieste 1986, published by World Scientific Press in 1988. This book is structured primarily by application area. Part II provides an introduction to mathematical and statistical applications in resource management.

• AIDS
• HIV
• biology
• dynamics
• ecology
• ecotoxicology
• epidemiology
• immunodeficiency
• natural resources
• parasite
• population biology
• population dynamics
• toxicology
• virus

• Section of Ecology and Systematics and Environmental Research Center, Cornell University, Ithaca, USA

  Simon A. Levin

• Department of Mathematics and Graduate Program in Ecology, University of Tennessee, Knoxville, USA

  Thomas G. Hallam, Louis J. Gross

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