Mathematical modeling of breast cancer with four stages

Breast cancer is a common disease that occurs in breast tissue cells. Chemotherapy, a type of medication used to prevent the spread of cancer, is frequently used by oncologists. These medications have been highly successful in slowing the spread of cancer and assisting patients in controlling the disease. Chemotherapy is associated with a higher risk of cardiotoxicity owing to its effects on blood vessels and heart muscles. In this paper, we construct a mathematical model for breast cancer. The model consists of six compartments for the four stages of breast cancer, recovery and cardiotoxicity. We demonstrate how the female breast cancer model contains a unique set of solutions. The stability of the model is checked through the Jacobian matrix. For numerical simulation, we use the non-standard finite difference (NSFD) scheme. Also, the for some further analysis and numerical investigations, we have utilized the Reimann–Liouville and Caputo derivatives.