Abstract：
Autocatalytic systems called hypercycles are very often incorporated in \"origin of life\" models. We investigate the dynamics of certain related models called bimolecular autocatalytic systems. In particular, we consider the dynamics corresponding to the relative populations in these networks, and show that it can be analyzed using well-chosen autonomous polynomial dynamical systems. Moreover, we use results from reaction network theory to prove persistence and permanence of several families of bimolecular autocatalytic systems called autocatalytic recombination systems.
摘要：
称为超循环的自动催化系统通常包含在“生命起源”模型中。我们研究了称为双分子自催化系统的某些相关模型的动力学。特别是,我们考虑与这些网络中的相对种群相对应的动力学，并表明可以使用适当选择的自治多项式动力系统进行分析。此外，我们使用反应网络理论的结果来证明几个家族的双分子自催化系统称为自催化重组系统的持久性和持久性。
