2025-298

In a population of size \($N=10000\backslash )$, a disease spreads according to the SI model.
The average degree is \(\langle k\rangle= 20\), the transmission probability per contact is  \(\beta = 0.04\), and initially one individual is infected.

Using the SI model solution with the homogeneous mixing hypothesis, compute the expected number of infected individuals after \(t=5\) time units.

Round to the closest integer.

A) 54

B) 350

C) 850

D) 1.100

E) None of the above

Original idea: Yan Prada