Persistence of Delayed Complex Balanced Chemical Reaction Networks

In this article, we mainly focus on the persistence of delayed complex balanced systems. We first give ω-limit set theorem for kind system which says that can be single constant positive equilibrium or equilibria boundaries. addition, derive several sufficient conditions to diagnose chemical reaction network systems equipped with mass-action kinetics based situation boundary stoichiometric compatibility class. Then, directly obtain two-dimensional subspace are persistent. Furthermore, prove abovementioned globally asymptotically stable at corresponding if trajectory starts from a initial function. illustrate analysis by two numerical examples.