Phys. Rev. Lett. 88, 234101 (2002) [4 pages]

Phase-Space Transport of Stochastic Chaos in Population Dynamics of Virus Spread

Abstract

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Citing Articles (16)

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Lora Billings¹, Erik M. Bollt², and Ira B. Schwartz³
¹Department of Mathematical Sciences, Montclair State University, Upper Montclair, New Jersey 07043
²Department of Mathematics and Computer Science, Clarkson University, P.O. Box 5815, Potsdam, New York 13699
³Naval Research Laboratory, Code 6792, Plasma Physics Division, Washington, D.C. 20375

Received 13 September 2001; published 23 May 2002

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.88.234101

DOI:

10.1103/PhysRevLett.88.234101

PACS:

05.45.-a, 05.10.Gg, 87.23.Cc

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Phys. Rev. Lett. 88, 234101 (2002) [4 pages]

Phase-Space Transport of Stochastic Chaos in Population Dynamics of Virus Spread