a mathematical model for cancer by using chemotherapy

In this paper, a nonlinear mathematical model with drug therapy and treatment control is presented and analyzed. to understand under what conditions cancer cells can be destroyed, an optimal control problem is formulated with treatment as the control parameter. next, a quadratic control function is designed to create optimal treatment strategies that minimize the number of cancer cells and reduce the harmful effects of the drug dose. in the proposed model, the uniqueness of the optimal solution is investigated, and then numerical simulations are performed and the graph related to the simulation of the paper is given. the results show that cancer cells are eradicated with little harmful effects for cancer patients.