There are 100,000 students, staff, and faculty with an account at...

There are 100,000 students, staff, and faculty with an account at ASU, and when the virus was discovered, there were already 1000 accounts infected and 2000 account recovered from the virus.

We can formulate the problem as a standard SIR model. The model has a time step size of one hour. From the data of the first hours of the virus spreading through the system we know that is 0.00001 and that it takes half a day for a computer to be recovered (the average time it takes for people to upload and execute a virus destruction program).

a: What is the value of R0?

b: How many accounts need to be vaccinated to avoid an epidemic (users need to install a patch on their computer)?