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Suppose the Equations dydt=4yxy\frac{d y}{d t}=4 y-x y And dxdt=xxy\frac{d x}{d t}=x-x y

Question 66

Multiple Choice

Suppose the equations dydt=4yxy\frac{d y}{d t}=4 y-x y and dxdt=xxy\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.

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