Talk’s Title: Persistence and permanence for nonautonomous
delay differential systems

Teresa Faria

Associate Professor with Habilitation, Department of Mathematics, FCUL

Areas of Interest: delayed functional differential equations, asymptotic behaviour of solutions, travelling waves for partial delay differential equations, delayed Lotka-Volterra systems, Nicholson systems, neural networks, infinite delays

https://ciencias.ulisboa.pt/pt/perfil/mtfpereira

Short Bio

I did my undergraduate studies in the Faculty of Sciences (Univ. Lisbon) and my Master and PhD (1992) in Instituto Superior Técnico. My first research interests were on normal forms and local dynamics for functional differential equations (FDEs), also in Hilbert and Banach spaces. For the last two decades, I have been mostly interested in some aspects of the global dynamics of solutions to such equations. More recently, the focus has been on qualitative theory for non-autonomous FDEs, with and without impulses, studying several topics, such as existence and stability of periodic solutions, permanence, persistence. The illustration of theoretical results with applications to models inspired in mathematical biology has also guided my research.

I am a member of the research center Centro de Matemática, Aplicações Fundamentais e Investigação Operacional (CMAFcIO) and a professor of the Department of Mathematics, of FCUL.