The Dynamic and the Geometry of Disease Outbreaks by Redefining the Effective Distance

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Babazadeh Maghsoodlo, Yazdan | 2021

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 54194 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Ghanbarnejad, Fakhteh
Abstract:
An infectious disease can spread through different communities via mobility networks. In this study we address three basic questions related to this matter in the meta-population approximation: firstly, where did the disease start? Secondly, when did the disease start? Thirdly, how does it spread in the network? To answer these questions, we introduce a generic mathematical framework with appropriate physical assumptions and study the spread of diseases. Then, with analytical solutions, we bring up different algorithms in order to answer these three questions. Using these algorithms, we redefine the effective distance and arriving time and unveil the simple geometry of the disease outbreak
Keywords:
Epidemiology ; Percolation ; Nonlinear Dynamics ; COVID-19 ; Source Detection ; Dynamics Models ; Universal Slope ; Meta-Population Approximation ; Spread Velocity ; Spreading Diseases ; Effective Distance