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The researches of the traditional cascade events, such as avalanche, sand model, only researched the power-law distribution in the process of all time. In fact, the speed of Virus propagation is different in each time period. In this paper, we can find that the number of infected people behaves as a power-law for Guinea, Liberia and Sierra Leone respectively over different time through our empirical observations. So the government could take different power exponents of the number of infected people as the spread of the disease in different periods for the speed of manufacturing of the drug.
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