The following differential equations represent the pattern of \ interaction between deer, coyotes and wolves in Yellowstone. The \ initial amounts are in thousands. It is observed that the increase in \ the coyote population increases competition and then causes a \ decrease. But the interaction between coyotes and deer has a positive \ impact, because there is more food. The equations are:
E1'[t] = 0.04E1[t]-0.003E1[t]C1[t]-0.85E1[t]W1[t]
C1'[t] = -0.06C1[t]+0.001E1[t]C1[t]
W1'[t] = -0.12W1[t]+0.005E1[t]W1[t]