We introduce an optimal control problem with state constraints to reduce tumor cell progression while minimizing damage to normal cells. We use a nonlinear deterministic and stochastic reaction-diffusion equations system to describe the drug's effect on cancer cells.
After conducting a mathematical analysis of the problem, we perform several numerical simulations of optimal solutions using realistic and random data to eradicate breast and lung cancer. These simulations highlight the importance of incorporating state constraints in modern cancer treatment strategies.