LIFESCI 30B Midterm: Midterm Review

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Assume the following: each day, 4% of susceptible individuals get infected, on average, a person remains infected for 6 days, so each day roughly 17% of infected individuals recover. Most (say 16%) will have developed immunity to the disease, but a few (1%) will not be immune, and thus will immediately be susceptible again: a person"s immunity does not last forever. Each day 2% of recovered individuals become susceptible again. Draw a compartment diagram for this model, and label each of the arrows appropri- ately. Then translate your diagram into a system of equations (for st+1, it+1, and rt+1 in terms of st, it, and rt). 2. (a) solve for a and b in the equation a 2. Note: to do this, you will probably want to rewrite this as a system of equations and solve simultaneously . (b) explain what your answer to part (a) means about the coordinates of 9.

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