Consider the following two-dimensional difference equations model: Xt = xt-1 + 2xt-1(1 - xt-1 ) - xt-1 yt-1 Yt = yt-1 + 2yt-1(1 - yt-1 ) - xt-1 yt-1 1. Find all of its equilibrium points. 2. Calculate the Jacobian matrix at the equilibrium point where x>0 and y>0. 3. Calculate the eigenvalues of the above matrix 4. Determine whether the equilibrium point is stable, unstable, or neutral, and if it is a spriral focus or a neutral center.