Thank you for the opportunity to help you with your question!
As we saw in class, one possible model for the growth of a population
is the logistic equation:
Here the number is the initial density of the population, is
the intrinsic growth rate of the population (for given, finite initial
resources available) and is the carrying capacity, or maximum potential
population density. This equation is an Ordinary Differential Equation
(ODE) because it is an equation which involves ordinary derivatives.
Please let me know if you need any clarification. I'm always happy to answer your questions.