A virus infect with contact and is most infectious at winter. If you get infected, you remains a carrier for an unlimited time. In an isolated population with P persons the rate of infection by time (t =months after the first of january) is propotional with the product of :
1: the number y(t) infected
2: the number not infected
3: 1 + cos((pi*t)/6)
1/10 of the population is infected 1.january
Make a differential equation that satisfies y(t), solve it, and explain every step
if a fifth of the population is infected a month later, how many are infected a year later?
