Selected article for: "field model and mean field model"
Author: Ottar N. Bjørnstad; Bryan T. Grenfell; Cecile Viboud; Aaron A. King
Title: Comparison of alternative models of human movement and the spread of disease
  • Document date: 2019_12_19
    • ID: 7a5nxxar_19
    Snippet: where the sum is across all non-self potential donor communities, and I j /N j is the 142 fraction of infected individuals in donor community j. The gravity model has two 143 important special cases: ρ = 0, τ 1 = τ 2 = 1, which is a mean-field model, and 144 τ 1 = τ 2 = 0, which is simple spatial diffusion. The φ parameter represents background 145 spatial transmission that is not predictable on the basis of distance and size [24] . 146 Xia.....
    Document: where the sum is across all non-self potential donor communities, and I j /N j is the 142 fraction of infected individuals in donor community j. The gravity model has two 143 important special cases: ρ = 0, τ 1 = τ 2 = 1, which is a mean-field model, and 144 τ 1 = τ 2 = 0, which is simple spatial diffusion. The φ parameter represents background 145 spatial transmission that is not predictable on the basis of distance and size [24] . 146 Xia's model. In the original analysis of the spatiotemporal dynamics of measles, Xia et al. [4] used a formulation rooted in the gravity-model literature but with a slightly different formulation:

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