264 citations · 563 across the 12 of their papers we have counts for
4 papers · 1 filter
Thermally activated switching in the presence of non-Gaussian noise
Lora Billings, Mark I. Dykman, Ira B. Schwartz
We study the effect of a non-Gaussian noise on interstate switching activated primarily by Gaussian noise. Even weak non-Gaussian noise can strongly change the switching rate. The…
Noise induced dynamics in adaptive networks with applications to epidemiology
Leah B. Shaw, Ira B. Schwartz
Recent work in modeling the coupling between disease dynamics and dynamic social network geometry has led to the examination of how human interactions force a rewiring of connectio…
Fluctuating epidemics on adaptive networks
Leah B. Shaw, Ira B. Schwartz
A model for epidemics on an adaptive network is considered. Nodes follow an SIRS (susceptible-infective-recovered-susceptible) pattern. Connections are rewired to break links from…
Disease extinction in the presence of non-Gaussian noise
Mark Dykman, Ira B. Schwartz, Alexandra S. Landsman
We investigate stochastic extinction in an epidemic model and the impact of random vaccinations in large populations. We show that, in the absence of vaccinations, the effective en…