62 citations · 198 across the 11 of their papers we have counts for
11 papers
Model Reduction in Stochastic Environments
Eric Forgoston, Lora Billings, Ira B. Schwartz
We present a general theory of stochastic model reduction which is based on a normal form coordinate transform method of A.J. Roberts. This nonlinear, stochastic projection allows…
Analysis and control of pre-extinction dynamics in stochastic populations
Garrett Nieddu, Lora Billings, Eric Forgoston
We consider a stochastic population model where the intrinsic or demographic noise causes cycling between states before the population eventually goes extinct. A master equation ap…
Intervention-Based Stochastic Disease Eradication
Lora Billings, Luis Mier-y-Teran-Romero, Brandon Lindley +1
Disease control is of paramount importance in public health with infectious disease extinction as the ultimate goal. Although diseases may go extinct due to random loss of effectiv…
Disease Persistence in Epidemiological Models: The Interplay between Vaccination and Migration
Jackson Burton, Lora Billings, Derek A. T. Cummings +1
We consider the interplay of vaccination and migration rates on disease persistence in epidemiological systems. We show that short-term and long-term migration can inhibit disease…
Set-based corral control in stochastic dynamical systems: Making almost invariant sets more invariant
Eric Forgoston, Lora Billings, Philip Yecko +1
We consider the problem of stochastic prediction and control in a time-dependent stochastic environment, such as the ocean, where escape from an almost invariant region occurs due…
Switching barrier scaling near bifurcation points for non-Gaussian noise
Lora Billings, Ira B. Schwartz, Marie McCrary +2
We study noise-induced switching of a system close to bifurcation parameter values where the number of stable states changes. For non-Gaussian noise, the switching exponent, which…