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Section: Mathematical & Computational Biology
Topic:
Ecology,
Applied mathematics
Impact of a block structure on the Lotka-Volterra model
10.24072/pcjournal.460 - Peer Community Journal, Volume 4 (2024), article no. e86.
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The Lotka-Volterra (LV) model is a simple, robust, and versatile model used to describe large interacting systems such as food webs or microbiomes. The model consists of n coupled differential equations linking the abundances of n different species. We consider a large random interaction matrix with independent entries and a block variance profile. The ith diagonal block represents the intra-community interaction in community i, while the off-diagonal blocks represent the inter-community interactions. The variance remains constant within each block, but may vary across blocks. We investigate the important case of two communities of interacting species, study how interactions affect their respective equilibrium. We also describe equilibrium with feasibility (i.e., whether there exists an equilibrium with all species at non-zero abundances) and the existence of an attrition phenomenon (some species may vanish) within each community. Information about the general case of b communities (b > 2) is provided in the appendix
Type: Research article
Clenet, Maxime 1, 2; Massol, François 3; Najim, Jamal 1
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@article{10_24072_pcjournal_460, author = {Clenet, Maxime and Massol, Fran\c{c}ois and Najim, Jamal}, title = {Impact of a block structure on the {Lotka-Volterra} model}, journal = {Peer Community Journal}, eid = {e86}, publisher = {Peer Community In}, volume = {4}, year = {2024}, doi = {10.24072/pcjournal.460}, language = {en}, url = {https://peercommunityjournal.org/articles/10.24072/pcjournal.460/} }
TY - JOUR AU - Clenet, Maxime AU - Massol, François AU - Najim, Jamal TI - Impact of a block structure on the Lotka-Volterra model JO - Peer Community Journal PY - 2024 VL - 4 PB - Peer Community In UR - https://peercommunityjournal.org/articles/10.24072/pcjournal.460/ DO - 10.24072/pcjournal.460 LA - en ID - 10_24072_pcjournal_460 ER -
%0 Journal Article %A Clenet, Maxime %A Massol, François %A Najim, Jamal %T Impact of a block structure on the Lotka-Volterra model %J Peer Community Journal %D 2024 %V 4 %I Peer Community In %U https://peercommunityjournal.org/articles/10.24072/pcjournal.460/ %R 10.24072/pcjournal.460 %G en %F 10_24072_pcjournal_460
Clenet, Maxime; Massol, François; Najim, Jamal. Impact of a block structure on the Lotka-Volterra model. Peer Community Journal, Volume 4 (2024), article no. e86. doi : 10.24072/pcjournal.460. https://peercommunityjournal.org/articles/10.24072/pcjournal.460/
PCI peer reviews and recommendation, and links to data, scripts, code and supplementary information: 10.24072/pci.mcb.100235
Conflict of interest of the recommender and peer reviewers:
The recommender in charge of the evaluation of the article and the reviewers declared that they have no conflict of interest (as defined in the code of conduct of PCI) with the authors or with the content of the article.
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