Gravitational scaling analysis on spatial diffusion of COVID-19 in Hubei Province, China.

PloS One
Yanguang ChenYuqing Long

Abstract

The spatial diffusion of epidemic disease follows distance decay law in geography and social physics, but the mathematical models of distance decay depend on concrete spatio-temporal conditions. This paper is devoted to modeling spatial diffusion patterns of COVID-19 stemming from Wuhan city to Hubei province, China. The modeling approach is to integrate analytical method and experimental method. The local gravity model is derived from allometric scaling and global gravity model, and then the parameters of the local gravity model are estimated by observational data and least squares calculation. The main results are as below. The local gravity model based on power law decay can effectively describe the diffusion patterns and process of COVID-19 in Hubei Province, and the goodness of fit of the gravity model based on negative exponential decay to the observational data is not satisfactory. Further, the goodness of fit of the model to data entirely became better and better over time, the size elasticity coefficient increases first and then decreases, and the distance attenuation exponent decreases first and then increases. Moreover, the significance of spatial autoregressive coefficient in the model is low, and the confidence lev...Continue Reading

References

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May 15, 2020·Chaos, Solitons, and Fractals·Manotosh MandalT K Kar
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Jan 19, 2021·Physica a·Antonio Doménech-Carbó, Clara Doménech-Casasús

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