Heterogeneous population dynamics and scaling laws near epidemic outbreaks.

  title={Heterogeneous population dynamics and scaling laws near epidemic outbreaks.},
  author={A. Widder and C. Kuehn},
  journal={Mathematical biosciences and engineering : MBE},
  volume={13 5},
  • A. Widder, C. Kuehn
  • Published 2016
  • Computer Science, Mathematics, Physics, Biology, Medicine
  • Mathematical biosciences and engineering : MBE
  • In this paper, we focus on the influence of heterogeneity and stochasticity of the population on the dynamical structure of a basic susceptible-infected-susceptible (SIS) model. First we prove that, upon a suitable mathematical reformulation of the basic reproduction number, the homogeneous system and the heterogeneous system exhibit a completely analogous global behaviour. Then we consider noise terms to incorporate the fluctuation effects and the random import of the disease into the… CONTINUE READING
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