The Consumer-Resource Relationship: Mathematical Modeling

By Alain Rapaport, Claude Lobry, Tewfik Sari, et al.

Better known as the "predator-prey relationship," the consumer-resource relationship means the situation where a single species of organisms consumes for survival and reproduction. For example, Escherichia coli consumes glucose, cows consume grass, cheetahs consume baboons; these three very different situations, the first concerns the world of bacteria and the resource is a chemical species, the second concerns mammals and the resource is a plant, and in the final case the consumer and the resource are mammals, have in common the fact of consuming.

In a chemostat, microorganisms generally consume (abiotic) minerals, but not always, bacteriophages consume bacteria that constitute a biotic resource. 'The Chemostat' book dealt only with the case of abiotic resources. Mathematically this amounts to replacing in the two equation system of the chemostat the decreasing function by a general increasing then decreasing function. This simple change has greatly enriched the theory. This book shows in this new framework the problem of competition for the same resource.

• Format: Hardcover
• Language: English
• ISBN: 1786300443
• ISBN13: 9781786300447
• Release Date: September 2018
• Publisher: Wiley-Iste
• Length: 274 Pages
• Weight: 1.23 lbs.
• Dimensions: 0.8" x 6.4" x 9.4"