Skip to main content
Article
Fundamental Properties of a Two-Scale Network Stochastic Human Epidemic Dynamic Model
Neural, Parallel, and Scientific Computations (2011)
  • Divine Wanduku, University of South Florida
  • G. S. Ladde, University of South Florida
Abstract
The non-uniform global spread of emergent infectious diseases of humans is closely interrelated with the large-scale structure of the human population, and the human mobility process in the population structure. The mobile population becomes the vector for the disease. We present an SIRS stochastic dynamic epidemic process in a two scale structured population. The variability caused by the fluctuating environment is assumed to manifest mainly in the transmission process. We investigate the stochastic asymptotic stability of the disease free equilibrium of the scale structured mobile population, under environmental fluctuations and its impact on the emergence, propagation and resurgence of the disease. The presented results are demonstrated by numerical simulation results.
Keywords
  • Disease-free steady state,
  • Stochastic asymptotic stability,
  • Threshold value,
  • Positively invariant set,
  • Lyapunov function
Disciplines
Publication Date
January, 2011
Citation Information
Divine Wanduku and G. S. Ladde. "Fundamental Properties of a Two-Scale Network Stochastic Human Epidemic Dynamic Model" Neural, Parallel, and Scientific Computations Vol. 19 (2011) p. 229 - 270 ISSN: 1061-5369
Available at: http://works.bepress.com/divine-wanduku/5/