Analysis of a mathematical model of periodically pulsed chemotherapy treatment

• DOI: 10.1007/s40435-015-0204-z
• Publication Date: 2015-09-05T06:11:42Z
• Authors: G. P. Samanta; Ricardo Gómez Aíza; Swarnali Sharma
• Keywords: 0301 basic medicine; 0303 health sciences; 03 medical and health sciences; 13. Climate action; 7. Clean energy; 3. Good health

In this paper, we have considered competition models describing tumor–normal–immune cell interaction with the added effects of periodically pulsed chemotherapy. The parametric conditions needed to prevent relapse following attempts to remove the tumor or tumor metastasis are obtained. The effects of resistant tumor sub-populations are also investigated and recurrence prevention strategies are discussed. Our analytical findings are explained through numerical simulation which show the reliability of our models from the epidemiological point of view.