In the context of the current biodiversity crisis, it is crucial to complement field studies with theoretical research to better understand the interdependencies between species. In this framework, a recent study [1], conducted jointly by the theoretical physics group at the Institut UTINAM and a researcher from the German Centre for Integrative Biodiversity Research (iDiv, Leipzig), proposes a method to quantify the importance of species (nodes in the network) within a trophic network (prey-predator network). This internship aims to extend this method to quantify the importance of trophic links within the network. Intern’s responsibilities: • Understand the foundational algorithm: Acquire a solid understanding of the algorithm used to quantify the importance of links in a network. This algorithm is based on the use of a Markov chain and produces an eigenvector centrality. • Develop a sensitivity algorithm: Implement, in a compiled language (Fortran/C++) and/or an interpreted language (Python), an algorithm to measure the influence of a link modification on the network nodes. • Explore prey-predator dynamics (optional, depending on progress): Study the dynamic aspects of trophic relation- ships, particularly the stability of fixed points in the dynamics. Reference: [1] Identifying important species in meta-communities G. Rollin, S. Kortsch, J. Lages, B. Gauzens, Methods in Ecology and Evolution 15, 1601-1703 (2024) https://doi.org/10.1111/2041-210X.14384