x? = x(0.6 ? 0.01x ? 0.015y) , y? = y (0.009 ? 0.001x ? 0.003y)

Question

Let x and y represent the populations (in thousands) of two species that share a
habitat. For each system of equations, find and assess the stability of the
equilibrium points. Remember that, for real populations, both x0 and y0 must be
nonnegative for ( x0 , y0) to be an equilibrium point.

Answer 1

(0, 0), node, unstable ,
(40, 0), node, asymptotically stable ,
(0, 3), saddle point, unstable