The collection of metabolisms that process and regulates iron inside the cell is called cellular iron homeostasis. Scientists have been interested in understanding these processes better due to the links that have been found between the anomalous cellular iron homeostasis and several diseases, like diabetes, Alzheimer's, and breast cancer. Anomalous iron homeostasis can raise or decrease the iron levels in an organism, with high levels of cellular iron being toxic to the cell whilst low levels of iron hinder the cellular growth. Different models that simulate iron homeostasis have been provided in the past, mainly focused on the iron inside of the cytoplasm, but there is relevance also in the iron inside of the mitochondria, since it is linked with diseases like Friedreich's Ataxia or malfunction of the mitochondria. In this talk, we present a different model that seeks to simulate cytoplasmic iron and also the levels of mitochondrial iron. This model includes a robust system of differential equations within the biologically relevant framework (i.e., positive parameters and state variables). It is proven that the system has at least one equilibrium point and the nonoccurrence of bifurcation. We also provide some tools applied for the study of the stability of the system and numerical results that point out asymptotic stability.