Search Results for author: Jamal Najim

Found 3 papers, 1 papers with code

Impact of a block structure on the Lotka-Volterra model

1 code implementation16 Nov 2023 Maxime Clenet, François Massol, Jamal Najim

We investigate the important case of two communities of interacting species, study how interactions affect their respective equilibrium.

Equilibria of large random Lotka-Volterra systems with vanishing species: a mathematical approach

no code implementations15 Feb 2023 Imane Akjouj, Walid Hachem, Mylène Maïda, Jamal Najim

Ecosystems with a large number of species are often modelled as Lotka-Volterra dynamical systems built around a large random interaction matrix.

Complex systems in Ecology: a guided tour with large Lotka-Volterra models and random matrices

no code implementations12 Dec 2022 Imane Akjouj, Matthieu Barbier, Maxime Clenet, Walid Hachem, Mylène Maïda, François Massol, Jamal Najim, Viet Chi Tran

Ecosystems represent archetypal complex dynamical systems, often modelled by coupled differential equations of the form $$ \frac{d x_i}{d t} = x_i \varphi_i(x_1,\cdots, x_N)\ , $$ where $N$ represents the number of species and $x_i$, the abundance of species $i$.

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