115 citations · 154 across the 12 of their papers we have counts for
13 papers
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…
Persistence and Extinction of Nonlocal Dispersal Evolution Equations in Moving Habitats
Patrick De Leenheer, Wenxian Shen, Aijun Zhang
This paper is devoted to the study of persistence and extinction of a species modeled by nonlocal dispersal evolution equations in moving habitats with moving speed . It is show…
Global analysis of a predator-prey model with variable predator search rate
Ben Dalziel, Enrique Thomann, Jan Medlock +1
We consider a modified Rosenzweig-MacArthur predator-prey model, based on the premise that the search rate of predators is dependent on the prey density, rather than constant. A co…
An elementary proof of a matrix tree theorem for directed graphs
Patrick De Leenheer
We present an elementary proof of a generalization of Kirchoff's matrix tree theorem to directed, weighted graphs. The proof is based on a specific factorization of the Laplacian m…
Tragedy of the Commons in the Chemostat
Martin Schuster, Eric Foxall, David Finch +2
We present a proof of principle for the phenomenon of the tragedy of the commons that is at the center of many theories on the evolution of cooperation. We establish the tragedy in…
Population models with partial migration
Anushaya Mohapatra, Haley A. Ohms, David A. Lytle +1
Populations exhibiting partial migration consist of two groups of individuals: Those that mi- grate between habitats, and those that remain fixed in a single habitat. We propose se…