28 citations · 46 across the 17 of their papers we have counts for
23 papers
Time of appearance of a large gap in a dynamic Poisson point process
Eric Foxall, Clément Soubrier
We study the distribution of the 'gap time', the first time that a large gap appears, in the spatial birth and death point process on in which particles are added uniformly…
Structural sensitivity in the functional responses of predator-prey models
Sarah K. Wyse, Maria M. Martignoni, May Anne Mata +2
In mathematical modeling, several different functional forms can often be used to fit a data set equally well, especially if the data is sparse. In such cases, these mathematically…
Takeover, fixation and identifiability in finite neutral genealogy models
Eric Foxall, Jen Labossiere
For neutral genealogy models in a finite, possibly non-constant population, there is a convenient ordered rearrangement of the particles, known as the lookdown representation, that…
Limit Processes and Bifurcation Theory of Quasi-Diffusive Perturbations
Eric Foxall
The bifurcation theory of ordinary differential equations (ODEs), and its application to deterministic population models, are by now well established. In this article, we begin to…
Extinction time of the logistic process
Eric Foxall
The logistic birth and death process is perhaps the simplest stochastic population model that has both density-dependent reproduction, and a phase transition, and a lot can be lear…
Clustering in the three and four color cyclic particle systems in one dimension
Eric Foxall, Hanbaek Lyu
We study the -color cyclic particle system on the one-dimensional integer lattice , first introduced by Bramson and Griffeath in \cite{bramson1989flux}. In that pape…