Pierre Magal (1967-2024) was a leading researcher at the interface of differential equations, functional analysis, and mathematical biology. He made substantial contributions to both theoretical and applied aspects of these subjects. He published a dozen monographs, proceedings, and special issues and more than 125 journal articles. In this article we provide an introduction to Pierre's contributions in some topics, including discrete population dynamics, integrated semigroup theory and abstract Cauchy problems with nondense domain, traveling waves in biological systems, uniform persistence and global attractors, cell-to-cell P-glycoprotein transfer in breast cancers, transfer problems in population dynamics and economics, and modeling of various epidemic problems, in particular his recent and extensive work on modeling COVID-19.
Keywords: 34K05; 34K18; 34K20; 35K57; 35K90; 37C25; 37L05; 37L10; 39A10; 47D62; 47H20; 47J35; 92D15; 92D25; 92D30.
© 2025. The Author(s).