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Meeting #2: Thursday 29/01/2026, 14h30-16h30
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)
Launching meeting: Friday 14/11/2025, 14h30-16h30
Launching meeting: Friday 14/11/2025, 14h30-16h30
14:30 Fabio Chalub (NOVA Math & Department of Mathematics, FCT NOVA) - Room S2 (Bloco de Aulas)
The interbreeding between mathematics and biology: the history of evolutionary theory from a mathematician's point of view.
Abstract: In this talk, I will give a very personal overview of the mathematical ideas behind the study of evolution, from its dawn (even before Darwin) until the most recent days. We start with the Comte of Buffon, pass by Darwin and Mendel, discuss the evolutionary synthesis from the beginning of the XXth Century, talk about the neutral theory, and finally reach some recent research topics that I am involved with.
15:45 Tea and Parallel Discussions. Mathematics Building (Sertório do Monte Pereira)
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