Literature DB >> 12059364

Phase-space transport of stochastic chaos in population dynamics of virus spread.

Lora Billings1, Erik M Bollt, Ira B Schwartz.   

Abstract

A general way to classify stochastic chaos is presented and applied to population dynamics models. A stochastic dynamical theory is used to develop an algorithmic tool to measure the transport across basin boundaries and predict the most probable regions of transport created by noise. The results of this tool are illustrated on a model of virus spread in a large population, where transport regions reveal how noise completes the necessary manifold intersections for the creation of emerging stochastic chaos.

Mesh:

Year:  2002        PMID: 12059364     DOI: 10.1103/PhysRevLett.88.234101

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  4 in total

1.  Enhanced vaccine control of epidemics in adaptive networks.

Authors:  Leah B Shaw; Ira B Schwartz
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2010-04-29

2.  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

3.  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

4.  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

  4 in total

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