Applied Mathematical Ecology

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.

Klappentext

This book builds on the basic framework developed in the earlier volume - "Mathematical Ecology", edited by T.G.Hallam and S.A.Levin, Springer 1986, which lays out the essentials of the subject. In the present book, the applications of mathematical ecology in ecotoxicology, in resource management, and epidemiology are illustrated in detail. The most important features are the case studies, and the interrelatedness of theory and application. There is no comparable text in the literature so far. The reader of the two-volume set will gain an appreciation of the broad scope of mathematical ecology.

Inhalt
I. Introduction.- Ecology in Theory and Application.- II. Resource Management.- Bioeconomic Modeling and Resource Management.- Common Property and the Conservation of Natural Resources.- Information and Area-Wide Control in Agricultural Ecology.- III. Epidemiology.- Fundamental Aspects of Epidemiology.- Three Basic Epidemiological Models.- The Population Biology of Parasitic Helminths in Animal Populations.- Simple Versus Complex Epidemiological Models.- Periodicity in Epidemiological Models.- Case Studies.- Rubella.- Influenza and Some Related Mathematical Models.- Review of Recent Models of HIV/AIDS Transmission.- The Transmission Dynamics of Human Immunodeficiency Virus (HIV).- IV. Ecotoxicology.- Models in Ecotoxicology: Methodological Aspects.- Deterministic and Statistical Models of Chemical Fate in Aquatic Systems.- Effects of Toxicants on Aquatic Populations.- V. Demography and Population Biology.- Mathematical Models in Plant Biology: An Overview.- Stable Population Theory and Applications.- Stage Structure Models Applied in Evolutionary Ecology.- Some Applications of Structured Models in Population Dynamics.- Author Index.