João Gondim - MO412

Under the Homogenous Mixing hypothesis, why are early quarantines one of the recommendations for the slow down of infection spreading? A) By restricting the number of connections between individuals, the characteristic time will be greater, giving researchers more time to discover new vaccines and medicines. B) The quarantine descreases the likelihood of a disease being transmitted, which accelerates the "Disease-free State", indicating that the infection will die exponentially. C) In the Susceptible Infected Model, individuals area prone to be infected again after recuperation, therefore quarantines are paramount to avoid new infections on the same individual. D) For the Susceptible Infected Removed Model, quarantines are a good tool to maintain R0 above 1, reaching the "Disease-free State", where epidemics die out due to the negative  τ . E) None of the above. Original idea by: João Medrado Gondim 

The image below shows the probability that a node belongs to the giant component of an Erdos–Rényi network, estimated as the ratio between the size of the largest connected component and the number of the remaining nodes after the removal of a fraction f of nodes, with the red vertical line representing the breakdown threshold for the created network. Which of the following alternatives best approximates the number of nodes (N) of the network and the probability for edge creation (p), respectively: A) N = 750 and p = 0.02 B) N = 1000 and p = 0.005 C) N = 500 and p = 0.015 D) N = 1500 and p = 0.002 E) None of the above. Original idea by: João Medrado Gondim