264 citations · 563 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Stochastic extinction of epidemics in large populations and role of vaccinations
Alexandra S. Landsman, Ira B. Schwartz
We investigate stochastic extinction in an epidemic model and the impact of random vaccinations in large populations formulated in terms of an optimal escape path. We find that dif…
Chaotic desynchronization of multi-strain diseases
Ira B. Schwartz, Leah B. Shaw, Derek A. T. Cummings +3
Multi-strain diseases are diseases that consist of several strains, or serotypes. The serotypes may interact by antibody-dependent enhancement (ADE), in which infection with a sing…
Migration induced epidemics: Dynamics of flux-based multipatch models
Larry S. Liebovitch, Ira B. Schwartz
Classical disease models use a mass action term as the interaction between infected and susceptible people in separate patches. We derive the equations when this interaction is a m…