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Utrametric diffusion model for spread of covid-19 in socially clustered population: Can herd immunity be approached in Sweden?

2020-07-16 epidemiology Title + abstract only
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We present a new mathematical model of disease spread reflecting specialties of covid-19 epidemic by elevating the role social clustering of population. The model can be used to explain slower approaching herd immunity in Sweden, than it was predicted by a variety of other mathematical models; see graphs Fig. 2. The hierarchic structure of social clusters is mathematically modeled with ultrametric spaces having treelike geometry. To simplify mathematics, we consider homogeneous trees with p-bran...

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