Mathematically, complex chemical reactions can be simplified by “model reduction,” that is, the rigorous way of approximating and representing a complex model in simplified form. Furthermore, to reduce the dimension of the reaction mechanism, there are different available model reduction techniques (MRT). Without losing the essential information of the system, we have reduced the higher-dimension manifold to low-dimension manifold using spectral quasi equilibrium manifold (SQEM). Near the equilibrium point for different values of rate constant, the solution trajectories of reacting species are examined. The possible approaches to their solution and key problems are based on the Horiuti’s rules and their slow invariants. The characteristic properties of nodes and trees of reaction mechanisms are addressed with the graph theory. The impact of the rate coefficient over the equilibrium of the system has been measured. The numerical approximations have been measured using SQEM with MATLAB and the model is analyzed graphically.

在数学上，可以通过“模型简化”来简化复杂的化学反应，即以简化的形式逼近和表示复杂模型的严格方法。此外，为了减小反应机理的尺寸，存在不同的可用模型还原技术（MRT）。在不丢失系统基本信息的情况下，我们已使用频谱拟平衡流形（SQEM）将高维流形减少为低维流形。对于不同的速率常数值，在平衡点附近，检查反应物种的溶液轨迹。解决方案和关键问题的可能方法基于Horiuti规则及其缓慢的不变式。图论解决了反应机理的节点和树的特征。已经测量了速率系数对系统平衡的影响。使用带有MATLAB的SQEM测量了数值近似值，并对模型进行了图形化分析。