(a) In monoculture, the growth rates of Curvibacter sp. and Duganella sp. do not depend on the initial densities. (b) In co-culture, the growth rate of Duganella sp. changes nonlinearly with the initial frequency of Curvibacter sp., showing a maximum at intermediate frequencies and inhibition especially at low and high frequencies of Curvibacter sp. The growth rate of Curvibacter sp., on the other hand, does not substantially depend on the initial frequencies. (Adapted from Li et al. [27].) (Online version in colour.)