scholarly journals COVID-19 Spatial Diffusion: A Markovian Agent-Based Model

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 485
Author(s):  
Marco Gribaudo ◽  
Mauro Iacono ◽  
Daniele Manini

We applied a flexible modeling technique capable of representing dynamics of large populations interacting in space and time, namely Markovian Agents, to study the evolution of COVID-19 in Italy. Our purpose was to show that this modeling approach, that is based on mean field analysis models, provides good performances in describing the diffusion of phenomena, like COVID-19. The paper describes the application of this modeling approach to the Italian scenario and results are validated against real data available about the Italian official documentation of the diffusion of COVID-19. The model of each agent is organized similarly to what largely established in literature in the Susceptible-Infected-Recovered (SIR) family of approaches. Results match the main events taken by the Italian government and their effects.

2013 ◽  
Vol 88 (2) ◽  
Author(s):  
Roberto da Silva ◽  
Mendeli H. Vainstein ◽  
Sebastián Gonçalves ◽  
Felipe S. F. Paula

2021 ◽  
Vol 167 ◽  
pp. 105400
Author(s):  
Vanessa Burg ◽  
Klaus G. Troitzsch ◽  
Deniz Akyol ◽  
Urs Baier ◽  
Stefanie Hellweg ◽  
...  

2021 ◽  
Vol 157 ◽  
pp. 107327
Author(s):  
Yuan Zhou ◽  
Alexander Nikolaev ◽  
Ling Bian ◽  
Li Lin ◽  
Lin Li

1994 ◽  
Vol 343 ◽  
Author(s):  
J. A. Floro ◽  
C. V. Thompson

ABSTRACTAbnormal grain growth is characterized by the lack of a steady state grain size distribution. In extreme cases the size distribution becomes transiently bimodal, with a few grains growing much larger than the average size. This is known as secondary grain growth. In polycrystalline thin films, the surface energy γs and film/substrate interfacial energy γi vary with grain orientation, providing an orientation-selective driving force that can lead to abnormal grain growth. We employ a mean field analysis that incorporates the effect of interface energy anisotropy to predict the evolution of the grain size/orientation distribution. While abnormal grain growth and texture evolution always result when interface energy anisotropy is present, whether secondary grain growth occurs will depend sensitively on the details of the orientation dependence of γi.


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