Two competeing species populations, w(t) and b(t), compete so that the populations obey the system of differential equations: dw = 8w - 3b dt db = 4b - 4w dt with the initial conditions w(0) = 16 and b(0) = 8 (A) Solving for the populations as a function of time yields w (t) = b (t) = (B) As a result, the long term behavior (determined by the dominant eigenvalue) of the populations will be w (t) = b ( t) =