Suppose an isolated island has a native population of 8000 and a person from a visiting ship introduces a disease which has an infection rate of 0.00005. Assume that the rate of spread of the disease satisfies the following logistic equation: dy = k 1 - y y, dt N where N is the size of the population and y is the number infected at time t. Write an equation for the number of natives who remain uninfected after t days