264 citations · 1.6k across the 69 of their papers we have counts for
6 papers · 1 filter
Epidemics with Multistrain Interactions: The Interplay Between Cross Immunity and Antibody-Dependent Enhancement
Simone Bianco, Leah B. Shaw, Ira B. Schwartz
This paper examines the interplay of the effect of cross immunity and antibody-dependent enhancement (ADE) in mutistrain diseases. Motivated by dengue fever, we study a model for t…
Escape Rates in a Stochastic Environment with Multiple Scales
Eric Forgoston, Ira B. Schwartz
We consider a stochastic environment with two time scales and outline a general theory that compares two methods to reduce the dimension of the original system. The first method in…
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…