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, and Ira B. Schwartz

Phys. Rev. Lett. 88, 234101 – Published 23 May 2002

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.

Received 13 September 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.234101

Authors & Affiliations

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