Impact of a block structure on the Lotka-Volterra modeluse asterix (*) to get italics

Maxime Clenet, François Massol, Jamal NajimPlease use the format "First name initials family name" as in "Marie S. Curie, Niels H. D. Bohr, Albert Einstein, John R. R. Tolkien, Donna T. Strickland"

2023

<p>​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.</p> <p>We consider a large random interaction matrix with independent entries and a block variance profile. The $i$th 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.</p> <p>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.​</p> <p>Information about the general case of $b$ communities ($b&gt; 2$) is provided in the appendix.​​​<br data-mce-fragment="1">​​​</p>

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Lotka-Volterra model, Block structure, Linear Complementarity Problems, Large Random Matrices, Stability of food webs

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Dynamical systems, Ecology, Probability and statistics

Jean-François Arnoldi, jean-francois.arnoldi@sete.cnrs.fr, Joseph Hofbauer, josef.hofbauer@univie.ac.at, Yasuhiro Takeuchi, takeuchi@sys.eng.shizuoka.ac.jp, Carlos A. Serván, cmarceloservan@uchicago.edu, Clive Emary, clive.emary@ncl.ac.uk, Didier Gonze [didier.gonze@ulb.be] suggested: The paper is too mathematical for me. Here are potential alternative reviewers:, Didier Gonze [didier.gonze@ulb.be] suggested: Jacopo Grilli , Didier Gonze [didier.gonze@ulb.be] suggested: The Abdus Salam International Centre for Theoretical Physics, Didier Gonze [didier.gonze@ulb.be] suggested: Quantitative Life Sciences section, Didier Gonze [didier.gonze@ulb.be] suggested: Strada Costiera 11, I-34151 Trieste, Italy, Didier Gonze [didier.gonze@ulb.be] suggested: Email: jgrilli@ictp[dot]it, Didier Gonze [didier.gonze@ulb.be] suggested: Web: https://jacopogrilli.github.io/, Didier Gonze [didier.gonze@ulb.be] suggested: Stefano Allesina, Didier Gonze [didier.gonze@ulb.be] suggested: Department Ecology and Evolution, Didier Gonze [didier.gonze@ulb.be] suggested: University of Chicago, Didier Gonze [didier.gonze@ulb.be] suggested: Email: sallesina@uchicago.edu, Didier Gonze [didier.gonze@ulb.be] suggested: Web: https://stefanoallesina.github.io/, Didier Gonze [didier.gonze@ulb.be] suggested: Kevin Foster , Didier Gonze [didier.gonze@ulb.be] suggested: Evolutionary Biology, Didier Gonze [didier.gonze@ulb.be] suggested: University of Oxford, Didier Gonze [didier.gonze@ulb.be] suggested: Email: kevin.foster@biology.ox.ac.uk , Didier Gonze [didier.gonze@ulb.be] suggested: Web: https://www.biology.ox.ac.uk/people/professor-kevin-foster, Didier Gonze [didier.gonze@ulb.be] suggested: Katharine Coyte, Didier Gonze [didier.gonze@ulb.be] suggested: Division of Evolution, Infection and Genomics, Didier Gonze [didier.gonze@ulb.be] suggested: University of Manchester, UK, Didier Gonze [didier.gonze@ulb.be] suggested: Email: katharine.coyte@manchester.ac.uk, Didier Gonze [didier.gonze@ulb.be] suggested: Web: https://kcoyte.wordpress.com/, Madalena Chaves [madalena.chaves@inria.fr] suggested: Dear Loic, , Madalena Chaves [madalena.chaves@inria.fr] suggested: I'm sorry to decline the review, but my schedule for the next weeks is pretty much full., Madalena Chaves [madalena.chaves@inria.fr] suggested: Here are three suggestions for reviewers in the field:, Madalena Chaves [madalena.chaves@inria.fr] suggested: Radhouane FEKIH-SALEM, radhouene.fs@gmail.com, https://sites.google.com/site/fekihsalemradhouane0/me-contacter, Madalena Chaves [madalena.chaves@inria.fr] suggested: Vincent CALCAGNO, Vincent.Calcagno@inrae.fr, Madalena Chaves [madalena.chaves@inria.fr] suggested: Tewfik SARI, tewfik.sari@inrae.fr, Stefano Allesina [sallesina@uchicago.edu] suggested: I have active collaborations with some of the authors., Stefano Allesina [sallesina@uchicago.edu] suggested: Jacopo Grilli would be a great choice., Stefano Allesina [sallesina@uchicago.edu] suggested: Best, Stefano Allesina [sallesina@uchicago.edu] suggested: Stefano, Tewfik SARI suggested: Jean Luc Gouzé, gouze@inria.fr, Alona Ben-Tal [alona@insightfulmodelling.com] suggested: Sincere apologies for having to decline. I am fully committed for the near future. , Alona Ben-Tal [alona@insightfulmodelling.com] suggested: Suggestions for reviewers:, Alona Ben-Tal [alona@insightfulmodelling.com] suggested: Associate Professor Maria Leite, email: mcleite@usf.edu, Alona Ben-Tal [alona@insightfulmodelling.com] suggested: Associate Professor Yunjiao Wang, email: Yunjiao.Wang@tsu.edu, Alona Ben-Tal [alona@insightfulmodelling.com] suggested: Kind regards,, Alona Ben-Tal [alona@insightfulmodelling.com] suggested: Alona., Vincent CALCAGNO [vincent.calcagno@inrae.fr] suggested: alexis.synodinos@idiv.de, Alexis Synodinos [alexis.synodinos@idiv.de] suggested: Jean-Francois Arnoldi jean-francois.arnoldi@sete.cnrs.fr, Jean-François Arnoldi [jean-francois.arnoldi@sete.cnrs.fr] suggested: Dear Loic, I'm sorry that I cannot make time to properly review the preprint., Jean-François Arnoldi [jean-francois.arnoldi@sete.cnrs.fr] suggested: I recommend that you contact on my behalf Juan Giral Martínez <juan.giral-martinez@polytechnique.edu>. , Jean-François Arnoldi [jean-francois.arnoldi@sete.cnrs.fr] suggested: He is a phd student with very high degree of expertise on the subject. , Jean-François Arnoldi [jean-francois.arnoldi@sete.cnrs.fr] suggested: Best of luck, , Jean-François Arnoldi [jean-francois.arnoldi@sete.cnrs.fr] suggested: Cheers, Jean-François Arnoldi [jean-francois.arnoldi@sete.cnrs.fr] suggested: JF

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No need for them to be recommenders of PCI Math Comp Biol. Please do not suggest reviewers for whom there might be a conflict of interest. Reviewers are not allowed to review preprints written by close colleagues (with whom they have published in the last four years, with whom they have received joint funding in the last four years, or with whom they are currently writing a manuscript, or submitting a grant proposal), or by family members, friends, or anyone for whom bias might affect the nature of the review - see the code of conduct

2023-11-17 21:44:38

Loïc Paulevé