Skip to Main content Skip to Navigation
Journal articles

Maintenance affects the stability of a two-tiered microbial 'food chain'?

Aiping Xu 1, * Jan Dolfing 1 Thomas P. Curtis 1 Gary Montague 1 Elaine Martin 1 
* Corresponding author
Abstract : Microbial 'food chains' are fundamentally different from canonical food chains in the sense that the waste products of the organisms on one trophic level are consumed by organisms of the next trophic level rather than the organisms themselves. In the present paper we introduce a generalised model of a two-tiered microbial 'food chain' with feedback inhibition After applying an appropriate dimensionless transformation And investigate its stability analytically. We then parameterised the model with consensus values for syntrophic propionate degradation compiled by the IWA Task Group for Mathematical Modelling of Anaerobic Digestion Processes. Consumption of energy for all processes other than growth is called maintenance. In the absence of maintenance and decay the microbial 'food chain' is intrinsically stable But when decay is included in the description this is not necessarily the case. We point out that this is in analogy to canonical food chains where introduction of maintenance in the description of a stable (equilibrium or limit cycle) predator-prey system generates chaos.
Document type :
Journal articles
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00682412
Contributor : Hal Peer Connect in order to contact the contributor
Submitted on : Monday, March 26, 2012 - 3:02:11 AM
Last modification on : Monday, March 26, 2012 - 3:02:11 AM

File

PEER_stage2_10.1016%2Fj.jtbi.2...
Files produced by the author(s)

Identifiers

Collections

Citation

Aiping Xu, Jan Dolfing, Thomas P. Curtis, Gary Montague, Elaine Martin. Maintenance affects the stability of a two-tiered microbial 'food chain'?. Journal of Theoretical Biology, Elsevier, 2011, 276 (1), pp.35. ⟨10.1016/j.jtbi.2011.01.026⟩. ⟨hal-00682412⟩

Share

Metrics

Record views

51

Files downloads

140