Abstract:
:Understanding how ecosystems evolve and how they respond to external perturbations is critical if we are to predict the effects of human intervention. A particular class of ecosystems whose dynamics are poorly understood are those in which the species are related via cross-feeding. In these ecosystems the metabolic output of one species is being used as a nutrient or energy source by another species. In this paper we derive a mathematical description of cross-feeding dynamics based on the replicator equation. We show that under certain assumptions about the system (e.g., high flow of nutrients and time scale separation), the governing equations reduce to a second-order series expansion of the replicator equation. By analysing the case of two and three species we derive conditions for co-existence and show under which parameter conditions one can expect an increase in mean fitness. Finally, we discuss how the model can be parameterised from experimental data.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Lundh T,Gerlee Pdoi
10.1007/s11538-013-9828-3subject
Has Abstractpub_date
2013-05-01 00:00:00pages
709-24issue
5eissn
0092-8240issn
1522-9602journal_volume
75pub_type
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