Comparison of the two-parameter bifurcation diagram K
between the 3 and 4-species systems: L
(solid) and L
(dashed). (a) kd4 = k4 for added species, K1crit is retained; (b)kd4 = k4 but small kd4, K1crit is retained but L4 has smaller oscillatory region; (c) kd4 = 0.5k4, K1crit is doubled, extended system has approximately doubled oscillatory region; (d) kd4 = 0.5k4 but with small kd4, K1crit is doubled, however B1> B, L3 and L4 have overlapping oscillatory regions. We used parameter sets (k1 = 1, k2 = 2, k3 = 1, kd1 = 1.2, kd2 = 3, kd3 = 2) and (k4, kd4) = (5,5) for (a); (0.1,0.1) for (b); (1,0.5) for (c) and (0.2, 0.1) for (d).