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In this paper, a delay differential equations (DDEs) model of leukemia isintroduced and its dynamical properties are investigated in comparison with themodified fractional-order system where the Caputo's derivative is used. Themodel takes into account three types of division that a stem-like cell canundergo and cell competition between healthy and leukemia cell populations. Theaction of the immune system on the leukemic cell populations is alsoconsidered. The stability properties of the equilibrium points are establishedthrough numerical results and the differences between the two types ofapproaches are discussed. Medical conclusions are drawn in view of the obtainednumerical simulations.

A Comparison Between the Stability Properties in a DDE Model for Leukemia and the Modified Fractional Counterpart