4 papers
Persistence of n-Species Lotka-Volterra Models with Periodic Pulses
Eleanor Courcelle, Jane Shaw MacDonald, Swati Patel
Periodic impulsive interventions arise naturally in the management of biological populations, including chemotherapy, pesticide application, and infectious-disease treatment. We de…
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…
A mathematical model for Nordic skiing
Jane Shaw MacDonald, Rafael Ordoñez Cardales, John M. Stockie
Nordic skiing provides fascinating opportunities for mathematical modelling studies that exploit methods and insights from physics, applied mathematics, data analysis, scientific c…
A hybrid finite element method for moving-habitat models in two spatial dimensions
Jane Shaw MacDonald, Yves Bourgault, Frithjof Lutscher
Moving-habitat models track the density of a population whose suitable habitat shifts as a consequence of climate change. Whereas most previous studies in this area consider 1-dime…