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

question 66

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.Which of the following describes the nature of the interaction between these two species?

• A)Species A would be better off without species B, but species B needs species A in order to survive.
• B)Species B would be better off without species A, but species A needs species B in order to survive.
• C)The two populations depend on each other; each would not survive without the other.
• D)The two populations are competitors; each suffers in the presence of the other.