The consumer-resource relationship: mathematical modeling
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 reso…
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- Full title :The consumer-resource relationship : mathematical modeling / Claude Lobry.
Summary
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
Read More ↓Edition Statements
- Publication Date:©2018
Publication Statements
- Publisher(s):ISTE Ltd, John Wiley & Sons, Inc
- Place of Publication:London
- Language:eng
- Publication Date:©2018
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781119544029, 1119544025, 9781119544012, 1119544017
- oclc:on1046676872
- LC Classification:QH352
- Dewey Decimal:577.88
Table of Contents
5.4. Bifurcation delay -- 5.4.1. Another surprising simulation -- 5.4.2. One more surprise -- 5.4.3. The Shiskova-Neishtadt theorem -- 5.5. Historical and bibliographical remarks -- Appendices -- Appendix 1: Differential Equations and Vector Fields -- Appendix 2: Planar Vector Field -- Appendix 3: Discontinuous Planar Vector Fields -- Bibliography -- Index -- Other titles from iSTE in Chemical Engineering -- EULA.
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