A mathematical model of cancer treatment by radiotherapy followed by chemotherapy

A periodic mathematical model of cancer treatment by radiotherapy followed by chemotherapy is presented and studied in this paper. Sufficient conditions on the coexistence of the healthy and cancer cells are obtained. Conditions on the existence and globally asymptotic stability of the positive periodic solution, the cancer eradication periodic solution and the cancer win periodic solution are derived. Numerical examples are shown to verify the validity of the results. A discussion is presented for further study.