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

Lora Billings; Erik M. Bollt; Ira B. Schwartz

doi:10.1103/PhysRevLett.88.234101

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

Lora Billings, Erik M. Bollt, Ira B. Schwartz

Applied Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

A general way to compute stochastic transport in a population dynamics model was presented. A Galerkin projection of the Frobenius-Perron operator was used in this technique describing the mass flow from cell to cell. The mass flux across basin boundaries, the probability density function and the Lyapunov exponents using spatial information were determined. Information combined with the topology of the system predicted the stochastic bifurcation to new dynamics, pointing the changes caused by the addition of noise.

Original language	English
Article number	234101
Pages (from-to)	2341011-2341014
Number of pages	4
Journal	Physical Review Letters
Volume	88
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevLett.88.234101
State	Published - 10 Jun 2002

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10.1103/PhysRevLett.88.234101

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abstract = "A general way to compute stochastic transport in a population dynamics model was presented. A Galerkin projection of the Frobenius-Perron operator was used in this technique describing the mass flow from cell to cell. The mass flux across basin boundaries, the probability density function and the Lyapunov exponents using spatial information were determined. Information combined with the topology of the system predicted the stochastic bifurcation to new dynamics, pointing the changes caused by the addition of noise.",

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

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