We use differential equations to predict the spread of diseases through a population. The growth of AIDS is an example that follows the curve of the logistic equation, derived from solving a differential equation. We will see how to solve differential equations later in this chapter.
The HIV Virus invades a white blood cell...Image source.
Populations usually grow in an exponential fashion at first:
However, populations do not continue to grow forever, because food, water and other resources get used up over time. Differential equations are used to predict populations of people, animals, bacteria and viruses that are being affected by external events.
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