6 citations · 17 across the 8 of their papers we have counts for
8 papers
Continuation of fixed points and bifurcations from ODE to flow-kick disturbance models
Katherine Meyer, Horace Fusco, Collin Smith +1
Some ODE models treat ecological disturbance as a continuous process, even disturbances such as fire that occur almost instantaneously on the timescale of system recovery. Alternat…
Examining the Modeling Framework of Crime Hotspot Models in Predictive Policing
Heidi Goodson, Alanna Hoyer-Leitzel
Predictive policing has its roots in crime hotspot modeling. In this paper we give an example of what goes into mathematical crime hot spot modeling and show that the modeling assu…
Impulsive fire disturbance in a savanna model: Tree-grass coexistence states, multiple stable system states, and resilience
Alanna Hoyer-Leitzel, Sarah Iams
Savanna ecosystems are shaped by the frequency and intensity of regular fires. We model savannas via an ordinary differential equation (ODE) encoding a one-sided inhibitory Lotka-V…
Rethinking the Definition of Rate-Induced Tipping
Alanna Hoyer-Leitzel, Alice Nadeau
The current definition of rate-induced tipping is tied to the idea of a pullback attractor limiting in forward and backward time to a stable quasi-static equilibrium. Here we propo…
Symmetric relative equilibria with one dominant and four infinitesimal point vortices
Alanna Hoyer-Leitzel, Sophie Phuong Le
We investigate the symmetry of point vortices with one dominant vortex and four vortices with infinitesimal circulations in the (1+4)-vortex problem, a subcase of the five-vortex p…
Quantifying resilience to recurrent ecosystem disturbances using flow-kick dynamics
Katherine Meyer, Alanna Hoyer-Leitzel, Sarah Iams +5
Shifting ecosystem disturbance patterns due to climate change (e.g. storms, droughts, wildfires) or direct human interference (e.g. harvests, nutrient loading) highlight the import…
Detecting transient rate-tipping using Steklov averages and Lyapunov vectors
Alanna Hoyer-Leitzel, Alice Nadeau, Andrew Roberts +1
A wide variety of physical systems ranging from the firing of neurons to eutrophication of lakes to the presence of Arctic summer sea ice exhibit a phenomenon known as tipping. In…
Existence, stability, and symmetry of relative equilibria with a dominant vortex
Anna Barry, Alanna Hoyer-Leitzel
We analyze existence, stability, and symmetry of point vortex relative equilibria with one dominant vortex and N vortices with infinitesimal circulation. The dimension of the probl…