Dynamical Behavior Analysis and Control of a Fractional-order Discretized Tumor Model

Abstract

In this work, we constructed a new fractional-order dynamical model of tumor and apply Euler method to obtain the discrete system. Local stability of the fixed points of the discretized system is studied. Numerical simulations show the chaotic attractor and the richer dynamical behavior of the discretized system. Linear feedback control method is used to control chaos in the considered discretized system. Numerical simulations results show that the controller can control the chaos effectively.