Literature DB >> 15600508

Dynamical epidemic suppression using stochastic prediction and control.

Ira B Schwartz1, Lora Billings, Erik M Bollt.   

Abstract

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.

Year:  2004        PMID: 15600508     DOI: 10.1103/PhysRevE.70.046220

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  7 in total

1.  Set-based corral control in stochastic dynamical systems: making almost invariant sets more invariant.

Authors:  Eric Forgoston; Lora Billings; Philip Yecko; Ira B Schwartz
Journal:  Chaos       Date:  2011-03       Impact factor: 3.642

2.  Converging towards the optimal path to extinction.

Authors:  Ira B Schwartz; Eric Forgoston; Simone Bianco; Leah B Shaw
Journal:  J R Soc Interface       Date:  2011-05-13       Impact factor: 4.118

3.  Disease persistence in epidemiological models: the interplay between vaccination and migration.

Authors:  Jackson Burton; Lora Billings; Derek A T Cummings; Ira B Schwartz
Journal:  Math Biosci       Date:  2012-05-28       Impact factor: 2.144

4.  Predicting unobserved exposures from seasonal epidemic data.

Authors:  Eric Forgoston; Ira B Schwartz
Journal:  Bull Math Biol       Date:  2013-06-01       Impact factor: 1.758

5.  Accurate noise projection for reduced stochastic epidemic models.

Authors:  Eric Forgoston; Lora Billings; Ira B Schwartz
Journal:  Chaos       Date:  2009-12       Impact factor: 3.642

6.  Intervention-based stochastic disease eradication.

Authors:  Lora Billings; Luis Mier-y-Teran-Romero; Brandon Lindley; Ira B Schwartz
Journal:  PLoS One       Date:  2013-08-05       Impact factor: 3.240

Review 7.  Mathematical and computational approaches to epidemic modeling: a comprehensive review.

Authors:  Wei Duan; Zongchen Fan; Peng Zhang; Gang Guo; Xiaogang Qiu
Journal:  Front Comput Sci       Date:  2015-10-09
  7 in total

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