Tracking uncertainty in a spatially explicit susceptible- infected epidemic model

  • Authors:
  • Jan M. Baetens;Bernard De Baets

  • Affiliations:
  • KERMIT, Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Gent, Belgium;KERMIT, Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Gent, Belgium

  • Venue:
  • ACRI'10 Proceedings of the 9th international conference on Cellular automata for research and industry
  • Year:
  • 2010

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Abstract

In this paper we conceive an interval-valued continuous cellular automaton for describing the spatio-temporal dynamics of an epidemic, in which themagnitude of the initial outbreak and/or the epidemic properties are only imprecisely known. In contrast to well-established approaches that rely on probability distributions for keeping track of the uncertainty in spatio-temporal models, we resort to an interval representation of uncertainty. Such an approach lowers the amount of computing power that is needed to run model simulations, and reduces the need for data that are indispensable for constructing the probability distributions upon which other paradigms are based.