Modeling Population Dynamics: Exponential Equations and Stabilization

This lesson covers writing and solving systems of nonlinear equations using exponential graphs. It reviews exponential functions, growth and decay factors, and their applications in modeling real-world scenarios. The MacArthur-Wilson theory of biogeography is discussed, focusing on species immigration and extinction. The lesson models these processes using exponential equations, demonstrating how to find equilibrium points where immigration and extinction rates stabilize.

What are the initial immigration and extinction rates for the island mentioned in the lesson?

How do you model the immigration pattern using an exponential equation?

What does the intersection point of the immigration and extinction models represent?