Invented by J. Monod, and independently by A. Novick and L. Szilard, in 1950, the chemostat is both a micro-organism culturing device and an abstracted ecosystem managed by a controlled nutrient flow.
This book studies mathematical models of single species growth as well as competition models of multiple species by integrating recent work in theoretical ecology and population dynamics. Through a modeling approach, the hypotheses and conclusions drawn from the main mathematical results are analyzed and interpreted from a critical perspective. A large emphasis is placed on numerical simulations of which prudent use is advocated.
The Chemostat is aimed at readers possessing degree-level mathematical knowledge and includes a detailed appendix of differential equations relating to specific notions and results used throughout this book.
2. The Growth of a Single Species.
3. Competitive Exclusion.
4. Competition: the Density-Dependent Model.
5. More Complex Models.
Jérôme Harmand is a researcher at the LBE laboratory of INRA in Narbonne, France.
Claude Lobry is a former Professor of both the University of Bordeaux and University of Nice in France.
Alain Rapaport is a researcher at the Applied Mathematics and Informatics Department of INRA in Montpellier, France.
Tewfik Sari is Research Director at the National Research Institute of Science and Technology for Environment and Agriculture (IRSTEA) in Montpellier, France.
Table of Contents
PDF File 80 Kb