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q-bio.PE2022★ 3 cited
Complex systems in Ecology: a guided tour with large Lotka-Volterra models and random matrices
Imane Akjouj, Matthieu Barbier, Maxime Clenet +5
Ecosystems represent archetypal complex dynamical systems, often modelled by coupled differential equations of the form where…
math.PR2022
Equilibrium in a large Lotka-Volterra system with pairwise correlated interactions
Maxime Clenet, E Ferchichi, Jamal Najim
We study the equilibria of a large Lokta-Volterra system of coupled differential equations in the case where the interaction coefficients form a large random matrix. In the case wh…
math.PR2022★ 1 cited
Equilibrium and surviving species in a large Lotka-Volterra system of differential equations
Maxime Clenet, François Massol, Jamal Najim
Lotka-Volterra (LV) equations play a key role in the mathematical modeling of various ecological, biological and chemical systems. When the number of species (or, depending on the…