The influence of the residence time on the dynamics of catalytic reaction networks

Although autocatalytic networks are common in nature, it is very difficult to reproduce them in laboratory. Since there are several models in literature describing a phase transition to an autocatalytic set once that a certain degree of heterogeneity in the composition of the system is reached, it is interesting to understand why it is so difficult to observe such a phenomenon in the laboratory. For this reason, we here present a model designed for the study of that systems taking into account the stochastic nature of the dynamics of interacting molecules. In particular, the analysis is focused on the emergence of autocatalytic sets in accordance with different residence times and influx compositions.