LE STUDIUM Visiting Researcher
In residence at
Dr Sten Madec
Coexistence near neutrality
One of the fundamental questions in ecology and evolutionary biology is the generation and maintenance of biodiversity. Studying multi-species communities with classical Lotka-Volterra ODE systems or with evolutionary game theory models, it has been shown that the interplay between cooperation and competition is key. Typically in high-dimensional spaces of diversity, analytical approaches are very challenging, if not impossible. In this project, we advance on such analytical front, by studying a new system of multi-type interactions that arise in the epidemiological dynamics of closely-related co-colonizing pathogen strains. We use time-scale separation for model reduction and obtain new perspectives linking neutral and non-neutral dynamics. Besides pairwise interactions between strains in co-colonization, we also study other dimensions of trait variation (transmissibility, duration of carriage), and quantify their effect on coexistence outcomes in a host population.
In collaboration with Dr. Sten Madec, we develop a new mathematical analytical framework to fully capture N-strain dynamics, where trait variation leads to different collective coexistence and diversity-stability regimes. We initially focus on co-colonization interactions as an alternative stabilizing force in endemic multi-type ecosystems, where emergent niches arise from a dynamic fitness landscape.
Mathematical modeling and analysis will be used for a quantitative cross-scale understanding of transmission dynamics and possible intervention effects. The proposed collaboration addresses fundamental challenges in mathematical ecology by integrating mathematics with the evolutionary dynamics of multi-strain systems and diversity data. Our framework can be applied to other multi-type contagion systems in ecology, sociology, information propagation systems, where frequency-dependent dynamics between co-circulating types are important.