Please help on the following regarding predator prey models. Programming language included. I will give good ratings!PLAS CODE:

$S^{\text{'}}=a1(a2-S-a3N)S$

$N^{\text{'}}=b1(b2-N-b3S)N$

$a1=0\mathrm{.}005$

$a2=60$

$a3=2\mathrm{.}5$

$b1=0\mathrm{.}02$

$b2=30$

$b3=1$

Which of the parameters describe the direct interactions between the two species? In the absence of

either one of the two species, what are the carrying capacities of $F$ and $N?$

Design a phase$-$plane plot containing all of the typical elements: All nullclines, steady$-$state points with

indication whether they are stable or not, and representative trajectories. How do these trajectories

cross the different nullclines? Finish the PLAS code and generate the plots to confirm the validity of

the trajectories you just established.