On a small college campus with 800 students, 10 students return from spring break with a contagious flu virus. The rate at which the virus spreads through the campus is given by the differential equation:

dS/dt = 0.434S(1 - S/800)

where S is the number of infected students and t is the number of days.

Write a logistical equation that models the number of students infected with the virus after t days?