What is another example for mathematical model?

Another example of a mathematical model is the logistic growth model, which describes how populations grow in an environment with limited resources. It is represented by the equation ( P(t) = \frac{K}{1 + \frac{K - P_0}{P_0} e^{-rt}} ), where ( P(t) ) is the population at time ( t ), ( K ) is the carrying capacity, ( P_0 ) is the initial population, and ( r ) is the growth rate. This model effectively captures the S-shaped curve of population growth, illustrating how growth slows as it approaches the carrying capacity.