x(t) = predator

y(t) = prey

dx/dt=-ax+bxy

dy/dt=py-qxy-h

Consider two scenarios for h, firstly when h is proportional to y, say ey and secondly, when h=N, where N is a constant.

1)For the case when h is proportional to the densitly of the prey, how does the solution differ from that when h =0?

2)For the case when the harvesting rate is constant, h =N, find the equilibrium points, how many if these are in the phase plane? examine the stability of the paths close to the equilibrium points in the phase plane.

i have found equilibrium points, community martix, eigenvalues and stability for when h=0 and when h=ey of 1) but am not sure how to find the eigen vectors.

in part 2 i have found the equilibrium points but can't manage the rest>

any help would be much appretiated thanks.