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

question 35

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.

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