Suppose the Equations $\frac{d y}{d t}=4 y-x y$ And $\frac{d x}{d t}=x-x y$

Multiple Choice

Suppose the equations $\frac{d y}{d t}=4 y-x y$ and $\frac{d x}{d t}=x-x y$ describe the rates of growth of two interacting species, where x is the number of species A, measured in thousands, and y is the number of species B, measured in thousands.Assuming that the initial conditions are 1000 of species A and 2000 of species B.What is the long run behavior of Species A?

A) It dies out.
B) It grows exponentially.
C) It reaches an equilibrium.