Tardes de BioMatemática

Welcome to our website for the recurring meeting of (some part of) the Mathematical-Biology community in the Lisbon area, currently organized by Davide Masoero and Léonard Monsaingeon, in collaboration with ISA Mathematics Department.  We try to meet once every two months, with one or two seminars per session followed by tea/coffee break and informal discussions.

Meeting #2: Thursday 29/01/2026, 14h30-16h30

14:30 Erida Gjini (CEMAT, Instituto Superior Técnico) - Room S2  (Bloco de Aulas)

From confection SIS models with many strains to replicator dynamics: a new framework for theory and data

Abstract: Despite extensive research, modelling and understanding biodiversity remains a challenge across fields such as ecology, epidemiology and microbiology. In the last years, we have approached biodiversity by developing and studying an N-strain SIS system with co-colonization and interactions, leading to a replicator equation. Using mathematical techniques, we have simplified this high-dimensional eco-epidemiological system, finding organizing principles for stability, complexity and coexistence, and parallels across biological scales:  from microbial transmission at the population level to multi-species microbiota dynamics within host. In this talk, I will present the model, its key properties, and our most recent extensions, and describe ways to link this replicator framework to epidemiological or microbiological data. Overall our work opens new theoretical avenues for investigation and fresh perspectives for applying this replicator equation to biodiversity, ecological invasion, and health vs. disease questions.

15:45 Tea and Parallel Discussions. Mathematics Building (Sertório do Monte Pereira)