Question

Supposed the spotted owl's primary food source is a single prey: mice. An ecologist wishes to predict the population level of spotted owls and mice in a wildlife sanctuary. Letting M_n represent the mouse population after n years and O_n the predator owl population, the ecologist has suggested the model:

M_n+1 = 1.5 * M_n − 0.002 * O_n * M_n

O_n+1 = 0.8 * O_n + 0.001 * O_n * M_n

Which of the following is true:

A) (200, 250) is the only equilibrium point.

B) (0, 0) and (200, 250) are the equilibrium points.

C) (0, 0) and (200, 0) are the equilibrium points.

D) (0, 0) and (0, 250) are the equilibrium points.

E) (0, 0), (200, 0), (0, 250) and (200, 250) are the equilibrium points.

Answer 1