On the Ultimate Dynamics of Myeloid cells in a Tumor-Immune System Model

The Localization of Compact Invariant Sets theory, define a region in the state space where are located all compact invariant sets of a dynamical system. This work explore the global dynamics of the myeloid cells in a tumor-immune system model, this model describes the interactions of myeloid, tumor and specific immune response cells. The localizations sets of immature and mature myeloid cell populations were found, also found two eventual localization sets for tumor and immune cell populations, so, the populations are bounded, but was proved that the sets vanish and the dynamic escapes to negative orthant, that it is not the biologically feasible domain for the model.