(d) You are studying how a rumor spreads through a town of N people. Let R(t) he
ID: 2867193 • Letter: #
Question
(d) You are studying how a rumor spreads through a town of N people. Let R(t) he the number of people who have heard the rumor at time t. i. Write differential equations expressing the following three models. A. The rumor spreads at a rate proportional to the number of people who have heard it. B. The rumor spreads at a rate proportional to the number of people who have not heard it yet. C. The rumor spreads at a rate proportional to the product of the number of the people who have heard it and the number of people who have not yet heard it.Explanation / Answer
A)
R(t) :people who have heard the rumour
dR(t)/dt = R(t)
b) people who have not heard the rumor is N-R(t):
dR(t)/dt = N-R(t)
c)
dR(t)/dt = R(t)*( N-R(t))
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