264 citations · 1.6k across the 69 of their papers we have counts for
6 papers · 1 filter
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…
Maximal Sensitive Dependence and the Optimal Path to Epidemic Extinction
Eric Forgoston, Simone Bianco, Leah B. Shaw +1
Extinction of an epidemic or a species is a rare event that occurs due to a large, rare stochastic fluctuation. Although the extinction process is dynamically unstable, it follows…
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…