Question: We can construct a model for the spread of a disease by assuming that people are being infected at a rate proportional to the product

We can construct a model for the spread of a disease by assuming that people are being infected at a rate proportional to the product of the number of people who have already been infected and the number of those who have not. Let P(t) denote the number of infected people at time t and N denote the total pupulation affected by the epidemic. Assume N is fixed throughout the time period we are considering.

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