Stability analysis of PDE’s modelling cell dynamics in Acute Myeloid Leukemia
Abstract
In this paper we perform a stability analysis oftwo systems of partial differential equations (PDEs) modellingcell dynamics in Acute Myeloid Leukemia. By using a Lyapunovapproach, for an equilibrium point of interest, we obtain stabilitybounds depending on the parameters of the systems. First,we derive sufficient conditions for boundedness of solutions.Then, asymptotic stability conditions are obtained. The resultsare illustrated with numerical examples and simulations.