Chaos and optimal control of equilibrium states of tumor system with drug

This article is devoted to study the chaos and optimal control problems of both tumor and tumor with drug systems. The stability and instability of the equilibrium states of these systems are investigated. This stability analysis indicates that these systems exhibit a chaotic behavior for some values of the system parameters. The optimal amount of drug and optimal dose for control of the equilibrium states that minimize the required Hamilton function are obtained. Analysis and extensive numerical examples of the uncontrolled and controlled systems were carried out.