Suppose That an Epidemic Is Spreading at a Rate Proportional $y ^ { \prime } = g ( y )$

question 126

Multiple Choice

Suppose that an epidemic is spreading at a rate proportional to the square of the infected population. Let f(t) be the number of infected people at time t, and suppose y = f(t) satisfies a differential equation $y ^ { \prime } = g ( y )$ . Which of the following sets of curves could represent solutions of $y ^ { \prime } = g ( y ) ?$ [Hint: First determine the differential equation $y ^ { \prime }$ = g(y) .]

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Definitions:

Determined

A term describing a definite and firm decision or the resolution to follow a particular course of action.

Measured

A term referring to something that has been quantitatively determined or assessed by using specific units or standards.

Flow Variable

An economic measure that represents something measured over a specific period of time, such as income or expenditure, which contrasts with stock variables that are measured at a specific point in time.

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