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Mathematics

Differential Equations for Modeling Population Growth and Decay

Quick fact

The equation dP/dt = rP yields exponential growth when r 0 and exponential decay when r < 0, and it can describe populations doubling at a constant rate, like bacteria dividing every hour.

Why this is interesting

Have you ever wondered how biologists predict animal populations or how diseases spread? The answer lies in a simple differential equation that connects change to the present state.