Abstract
<title>Abstract</title> <p>In this study, we provide a characterization of the set of complex balanced equilibria of weakly reversible power law kinetic (PLK) systems via the so-called PL-TIK decomposition, which is a decomposition class introduced by Tiongson et al. in 2024 that composed of PL-TIK subnetworks. First, by applying the PL-TIK decomposition algorithm, one can note that any PLK system admits a PL-TIK decomposition. Also, we show some important findings regarding Deficiency Zero kinetic systems. We show that weakly reversible PLK systems with weakly reversible, Incidence-independent, PL-TIK decompositions are complex balanced; thus, generalizing the result of the previous study. Lastly, we consider again the subnetwork of Schmitz' Carbon Cycle Model, where we apply both the PL-TIK Decomposition Algorithm and the main result of this study.</p>