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_23
Snippet: As in the gravity model, Ï„ 1 and Ï„ 2 control how 'eagerness to travel' and city 'attractiveness' scales with population size; and Ï measures how the likelihood of travel decays with distance. The parameter δ quantifies how destinations k, of various sizes, at distances d jk from the donor j, modulate the spatial interaction between recipient i and and donor j. In particular, δ > 0 indicates a synergistic effect; δ < 0, an antagonistic effec.....
Document: As in the gravity model, Ï„ 1 and Ï„ 2 control how 'eagerness to travel' and city 'attractiveness' scales with population size; and Ï measures how the likelihood of travel decays with distance. The parameter δ quantifies how destinations k, of various sizes, at distances d jk from the donor j, modulate the spatial interaction between recipient i and and donor j. In particular, δ > 0 indicates a synergistic effect; δ < 0, an antagonistic effect. The resultant formulation for disease-relevant spatial interactions between community i and everywhere else is:
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