Question

The population of Cook island has always been modeled by a logistic equation P′=????(????−P) with growth rate ????=4 and carrying capacity ????=9000 with time t in years. Starting in 2000, 4 citizens of Cook island have left every year to become a mathematician, never to return.

What is the new differential equation modeling the population of the island P?

Answer 1

The new differential equation modeling the population of Cook Island (P) is P' = 4(9000 - P).

Step-by-step explanation:

The new differential equation modeling the population of Cook Island (P) can be obtained by subtracting the rate at which citizens leave the island (4) from the original logistic equation.

Therefore, the new differential equation is:

P' = 4(9000 - P)