A certain population has 20,000 people. The population is hit by a strain of flu. 1% of the susceptible population per day is stricken. The flu effects last 5 days, after which the effected person is then immune to this virus. 10% of the population is naturally immune to the virus.
- If the epidemic were allowed to run its course, how long would it take for the entire population to be immune?
- The Health Service would like to institute an immunization program in an attempt to knock out the epidemic quickly, within a month, if possible. However, they would also like to inoculate as few people as possible because the serum does occasionally make people feel sick.
Create a plan that would keep the flu from reaching epidemic levels, but would also minimize inoculating people unnecessarily.