The chaos and optimal control of cancer model with complete unknown parameters

In this paper, we study the chaos and optimal control of cancer model with completely unknown parameters. The stability analysis of the biologically feasible steady-states of this model will be discussed. It is proved that the system appears to exhibit periodic and quasi-periodic limit cycles and chaotic attractors for some ranges of the system parameters. The necessary optimal controllers input for the asymptotic stability of some positive equilibrium states are derived. Numerical analysis and extensive numerical examples of the uncontrolled and controlled systems were carried out for various parameters values and different initial densities.