Spreading Phenonema Question

 Consider the SI model (Susceptible-Infected) under the homogeneous mixing assumption. In this model, the spread of the virus is driven by random contacts between individuals.

You are given the following data for a specific population at time t:

  • Total Population (N): 10,000 individuals

  • Current Susceptible individuals (S): 9,500

  • Current Infected individuals (I): 500

  • Average degree (contacts per individual per unit time, <k>): 12

  • Transmission probability (B): 0.05

At this specific moment, what is the average rate of new infections?

A) 275

B) 285

C) 570

D) 600

E) None of the above


Original idea by: Alexandre Petrachini

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