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Eradication of infectious diseases in heterogeneous populations
Affiliation:1. CEREMADE, Université Paris Dauphine, France;2. Institut Universitaire de France;1. Institute for Applied Computational Science, Harvard J.A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA;2. Department of Physics, Harvard University, Cambridge, MA, USA;3. Harvard J.A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA,USA;4. Department of Physics, University of Crete, Heraklion, Greece
Abstract:We present a model of infectious diseases in heterogeneous populations, which allows for variable intra- to intergroup contact ratios. We give necessary and sufficient conditions for disease eradication by means of vaccination. Smallpox is used as an illustrative example.
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