264 citations
4 papers
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…
Complete chaotic synchronization in mutually coupled time-delay systems
Alexandra S. Landsman, Ira B. Schwartz
Complete chaotic synchronization of end lasers has been observed in a line of mutually coupled, time-delayed system of three lasers, with no direct communication between the end la…
Predictions of ultra-harmonic oscillations in coupled arrays of limit cycle oscillators
Alexandra S. Landsman, Ira B. Schwartz
Coupled distinct arrays of nonlinear oscillators have been shown to have a regime of high frequency, or ultra-harmonic, oscillations that are at multiples of the natural frequency…