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.
MSU Digital Commons Citation
Billings, Lora; Bollt, Erik M.; and Schwartz, Ira B., "Phase-space transport of stochastic chaos in population dynamics of virus spread" (2002). Department of Mathematics Facuty Scholarship and Creative Works. 24.
Billings, L., Bollt, E. M., & Schwartz, I. B. (2002). Phase-space transport of stochastic chaos in population dynamics of virus spread. Phys Rev Lett, 88(23), 234101. doi:10.1103/PhysRevLett.88.234101