(a) Is the interaction between species A and B symbiotic, competitive, or a predator-prey relationship?
Answer: Competitive
(b) What are the equilibrium populations?
Answer:
\(\frac{dx}{dt}=0\ when\ x=0\ and\ y=2\) \(\)
\(\frac{dy}{dt}=0\ when\ x=2\ and\ y=0\)
Coordinates:
\(\frac{dx}{dt}=\ \frac{dy}{dt}=0\)
\(when:\ \ x=0\ \ \rightarrow\ \left(0,0\right)\ \ \ \ \ \ \ \ \ y=2\ \rightarrow\ \left(2,2\right)\)
\(\therefore\ equilibrium\ populations\ \begin{cases} x=0\ and\ y=0\\ x=2\ and\ y=2 \end{cases}\)