2 papers
math.FA2026
The Basic Reproduction Number for Bounded Linear Operators on Ordered Banach Spaces
Zachary Gregg, Patrick De Leenheer
A basic reproduction number, , is a concept encountered frequently in the study of ecological and epidemiological models. It is routinely used to determine the stability of an…
math.DS2025
Unique steady states for population models in a heterogeneous environment
Patrick de Leenheer, Jane Shaw MacDonald, Swati Patel
We revisit a model proposed by Freedman etal in \cite{freedman} which describes the dynamics of a population diffusing in a patchy environment. From their work it is known that pos…