Simpler Competition
Let the situation of 2 populations competing according to simpler model
dx/dt = x(a-by),
dy/dt = y(c-dx),
where a, b, c, and d are positive constants. Determine and draw equilibrium points and nullclines, and find directions of vector vield between nullclines. Find stability of equilibrium points, and draw phase portrait of system. Repeat question for a = b = c = d = 1.