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Periodic and Chaotic Dynamics in Childhood Infections

  • W. M. Schaffer
  • L. F. Olsen
  • G. L. Truty
  • S. L. Fulmer
  • D. J. Graser
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 39)

Abstract

Most biologists, when confronted with a time series, assume that the dynamical possibilities are quite limited. Either a system sits still, presumably at equilibrium, or it may oscillate with a fixed period. Anything else, they will probably tell you, is evidence of noise — observational error or chance perturbations from without. By these criteria, most biological systems, especially at the population level, are extremely noisy. Hence, it is no accident that mathematical biology places a heavy emphasis on stochastic models as well as on statistical techniques designed to extract the “deterministic” component of the signal.

Keywords

Lyapunov Exponent Correlation Dimension Childhood Disease Chaotic Orbit Chaotic Time Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • W. M. Schaffer
    • 1
  • L. F. Olsen
    • 1
  • G. L. Truty
    • 1
  • S. L. Fulmer
    • 1
  • D. J. Graser
    • 1
  1. 1.Department of Ecology and Evolutionary BiologyThe University of ArizonaTucsonUSA

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