We consider the effects of noise on a model of epidemic outbreaks, where the outbreaks appear randomly. Using a constructive transition approach that predicts large outbreaks prior to their occurrence, we derive an adaptive control scheme that prevents large outbreaks from occurring. The theory is applicable to a wide range of stochastic processes with underlying deterministic structure.
MSU Digital Commons Citation
Schwartz, Ira; Billings, Lora; and Bollt, Erik, "Dynamical epidemic suppression using stochastic prediction and control" (2004). Department of Mathematical Sciences Faculty Scholarship and Creative Works. 8.
Schwartz, I. B., Billings, L., & Bollt, E. M. (2004). Dynamical epidemic suppression using stochastic prediction and control. Physical Review E, 70(4), 046220. doi:10.1103/PhysRevE.70.046220